Greatest Common Factor of 20/68, 22/40, 644/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/68, 22/40, 644/980

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 20/68,22/40,644/980

Given fractions are 20/68,22/40,644/980

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 20,22,644

Greatest Common Factor of Numerators i.e. GCF of 20,22,644 is 2 .

LCM of Denominators means LCM of 68,40,980 as per the given fractions.

LCM of 68,40,980 is 33320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,22,644

GCF of Fractions 20/68,22/40,644/980 is 2/33320

2 20, 22, 644
10, 11, 322

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 20,22,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,22,644 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 20,22,644 . The biggest common factor number is the GCF number.
So the greatest common factor 20,22,644 is 2.

Lets's calculate LCM of 68,40,980

2 68, 40, 980
2 34, 20, 490
5 17, 10, 245
17, 2, 49

∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 2 x 49 = 33320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33320

Therefore, the GCF of Fractions 20/68,22/40,644/980 is 2/33320

Least Common Multiple of 68,40,980 with GCF Formula

Least Common Multiple of 68,40,980 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 68,40,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,40,980) = 4

common factors(in case of two or more numbers have common factors) = 20

GCF(68,40,980) x common factors =4 x 20 = 80

LCM(68,40,980) = ( 68 × 40 × 980 ) / 80

LCM(68,40,980) = 2665600 / 80

LCM(68,40,980) = 33320


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 20/68, 22/40, 644/980

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 20/68, 22/40, 644/980?

Answer: GCF of Numerators as per given numbers 20/68, 22/40, 644/980 is

GCF of Numerators i.e. for 20,22,644 is 2

LCM of denominators i.e. for 68,40,980 is 33320.

Thus, GCF of Fractions is 2/33320.Finally, GCF of Fractions for 20/68, 22/40, 644/980 is 2/33320.