Greatest Common Factor of 56/52, 91/164, 122/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 56/52, 91/164, 122/988

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 56/52,91/164,122/988

Given fractions are 56/52,91/164,122/988

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 56,91,122

Greatest Common Factor of Numerators i.e. GCF of 56,91,122 is 1 .

LCM of Denominators means LCM of 52,164,988 as per the given fractions.

LCM of 52,164,988 is 40508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 56,91,122

GCF of Fractions 56/52,91/164,122/988 is 1/40508

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 56,91,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,91,122 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 56,91,122 . The biggest common factor number is the GCF number.
So the greatest common factor 56,91,122 is 1.

Lets's calculate LCM of 52,164,988

2 52, 164, 988
2 26, 82, 494
13 13, 41, 247
1, 41, 19

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 41 x 19 = 40508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40508

Therefore, the GCF of Fractions 56/52,91/164,122/988 is 1/40508

Least Common Multiple of 52,164,988 with GCF Formula

Least Common Multiple of 52,164,988 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 52,164,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,164,988) = 4

common factors(in case of two or more numbers have common factors) = 52

GCF(52,164,988) x common factors =4 x 52 = 208

LCM(52,164,988) = ( 52 × 164 × 988 ) / 208

LCM(52,164,988) = 8425664 / 208

LCM(52,164,988) = 40508


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 56/52, 91/164, 122/988

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 56/52, 91/164, 122/988?

Answer: GCF of Numerators as per given numbers 56/52, 91/164, 122/988 is

GCF of Numerators i.e. for 56,91,122 is 1

LCM of denominators i.e. for 52,164,988 is 40508.

Thus, GCF of Fractions is 1/40508.Finally, GCF of Fractions for 56/52, 91/164, 122/988 is 1/40508.