Greatest Common Factor of 637/53, 700/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 637/53, 700/131

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 637/53,700/131

Given fractions are 637/53,700/131

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 637,700

Greatest Common Factor of Numerators i.e. GCF of 637,700 is 7 .

LCM of Denominators means LCM of 53,131 as per the given fractions.

LCM of 53,131 is 6943 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 637,700

GCF of Fractions 637/53,700/131 is 7/6943

7 637, 700
91, 100

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 637,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 637,700 By Matching Biggest Common Factor Method

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 637,700 . The biggest common factor number is the GCF number.
So the greatest common factor 637,700 is 7.

Lets's calculate LCM of 53,131

Given numbers has no common factors except 1. So, there LCM is their product i.e 6943

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/6943

Therefore, the GCF of Fractions 637/53,700/131 is 7/6943

Least Common Multiple of 53,131 with GCF Formula

Least Common Multiple of 53,131 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 53,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,131) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(53,131) x common factors =1 x 1 = 1

LCM(53,131) = ( 53 × 131 ) / 1

LCM(53,131) = 6943 / 1

LCM(53,131) = 6943


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 637/53, 700/131

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 637/53, 700/131?

Answer: GCF of Numerators as per given numbers 637/53, 700/131 is

GCF of Numerators i.e. for 637,700 is 7

LCM of denominators i.e. for 53,131 is 6943.

Thus, GCF of Fractions is 7/6943.Finally, GCF of Fractions for 637/53, 700/131 is 7/6943.