Gcf Of 20 And 80

GCF of 80 and 20

GCF of 80 and 20 is the largest possible number that divides eighty and 20 exactly without any remainder. The factors of eighty and twenty are 1, ii, 4, v, 8, 10, sixteen, xx, 40, eighty and 1, ii, four, five, x, 20 respectively. In that location are 3 commonly used methods to discover the GCF of 80 and 20 - Euclidean algorithm, prime factorization, and long segmentation.

1.	GCF of 80 and 20
2.	List of Methods
3.	Solved Examples
4.	FAQs

What is GCF of eighty and twenty?

Respond: GCF of 80 and twenty is xx.

Explanation:

The GCF of 2 non-zip integers, 10(eighty) and y(twenty), is the greatest positive integer m(xx) that divides both x(fourscore) and y(20) without any residue.

Methods to Find GCF of lxxx and 20

The methods to find the GCF of 80 and xx are explained beneath.

• List Mutual Factors
• Prime number Factorization Method
• Using Euclid'south Algorithm

GCF of fourscore and 20 by List Common Factors

• Factors of fourscore: 1, 2, 4, v, 8, 10, xvi, 20, forty, 80
• Factors of 20: ane, 2, four, 5, 10, 20

There are vi common factors of eighty and 20, that are 1, 2, 4, 5, 10, and 20. Therefore, the greatest mutual factor of fourscore and 20 is 20.

GCF of 80 and 20 past Prime Factorization

Prime factorization of 80 and 20 is (2 × 2 × 2 × 2 × v) and (2 × 2 × 5) respectively. Equally visible, 80 and 20 have mutual prime factors. Hence, the GCF of eighty and twenty is 2 × two × 5 = twenty.

GCF of 80 and 20 by Euclidean Algorithm

As per the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mod Y)
where 10 > Y and mod is the modulo operator.

Hither X = 80 and Y = xx

• GCF(80, xx) = GCF(20, 80 modernistic 20) = GCF(20, 0)
• GCF(20, 0) = 20 (∵ GCF(X, 0) = |X|, where X ≠ 0)

Therefore, the value of GCF of 80 and 20 is 20.

☛ Likewise Bank check:

• GCF of 72 and 108 = 36
• GCF of 45 and 60 = fifteen
• GCF of fourteen and 49 = 7
• GCF of 16 and lx = iv
• GCF of 26 and 14 = two
• GCF of 14 and 56 = xiv
• GCF of 35 and 42 = seven

GCF of lxxx and xx Examples

1. Example i: The production of two numbers is 1600. If their GCF is 20, what is their LCM?

   Solution:

   Given: GCF = 20 and production of numbers = 1600
   ∵ LCM × GCF = product of numbers
   ⇒ LCM = Product/GCF = 1600/20
   Therefore, the LCM is eighty.

2. Example 2: Observe the GCF of 80 and xx, if their LCM is 80.

   Solution:

   ∵ LCM × GCF = 80 × 20
   ⇒ GCF(80, 20) = (fourscore × twenty)/80 = 20
   Therefore, the greatest common cistron of 80 and 20 is xx.

3. Example 3: Find the greatest number that divides 80 and 20 exactly.

   Solution:

   The greatest number that divides 80 and xx exactly is their greatest common gene, i.e. GCF of eighty and 20.
   ⇒ Factors of 80 and twenty:

   • Factors of 80 = 1, 2, iv, 5, 8, ten, 16, 20, forty, fourscore
   • Factors of 20 = 1, two, 4, five, x, 20

   Therefore, the GCF of 80 and 20 is 20.

get to slidego to slidego to slide

Ready to see the world through math'due south eyes?

Math is at the core of everything we do. Enjoy solving existent-globe math problems in live classes and get an expert at everything.

Book a Free Trial Grade

FAQs on GCF of eighty and xx

What is the GCF of 80 and 20?

The GCF of 80 and 20 is 20 . To calculate the greatest common factor of 80 and 20, we need to gene each number (factors of 80 = i, 2, four, 5, 8, 10, 16, xx, xl, 80; factors of 20 = 1, two, 4, v, 10, 20) and choose the greatest factor that exactly divides both 80 and twenty, i.e., 20.

If the GCF of 20 and eighty is twenty, Find its LCM.

GCF(xx, 80) × LCM(20, 80) = 20 × eighty
Since the GCF of 20 and 80 = 20
⇒ 20 × LCM(twenty, eighty) = 1600
Therefore, LCM = 80
☛ Greatest Common Gene Calculator

What is the Relation Betwixt LCM and GCF of 80, 20?

The following equation tin can exist used to express the relation betwixt LCM (Least Common Multiple) and GCF of 80 and 20, i.e. GCF × LCM = 80 × 20.

How to Detect the GCF of 80 and 20 past Prime Factorization?

To find the GCF of 80 and 20, we will find the prime factorization of the given numbers, i.e. fourscore = two × 2 × two × 2 × 5; 20 = 2 × two × 5.
⇒ Since 2, 2, 5 are common terms in the prime factorization of 80 and xx. Hence, GCF(80, 20) = 2 × 2 × 5 = 20
☛ Prime number

How to Find the GCF of 80 and twenty by Long Division Method?

To notice the GCF of 80, 20 using long segmentation method, 80 is divided by twenty. The corresponding divisor (20) when remainder equals 0 is taken as GCF.

What are the Methods to Find GCF of fourscore and 20?

There are iii commonly used methods to find the GCF of 80 and xx.

• By Euclidean Algorithm
• By Prime Factorization
• By Long Division

Gcf Of 20 And 80,

Source: https://www.cuemath.com/numbers/gcf-of-80-and-20/

Posted by: carterbroas1992.blogspot.com

Share this post