Greatest Common Factor of 637/707, 2657/7174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 637/707, 2657/7174

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 637/707,2657/7174

Given fractions are 637/707,2657/7174

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 637,2657

Greatest Common Factor of Numerators i.e. GCF of 637,2657 is 1 .

LCM of Denominators means LCM of 707,7174 as per the given fractions.

LCM of 707,7174 is 5072018 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 637,2657

GCF of Fractions 637/707,2657/7174 is 1/5072018

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

Greatest Common Factor of 637,2657 By Matching Biggest Common Factor Method

Greatest Common Factor of 637,2657 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 2657

List of positive integer factors of 2657 that divides 2657 without a remainder.

1,2657

Greatest Common Factor

We found the factors 637,2657 . The biggest common factor number is the GCF number.
So the greatest common factor 637,2657 is 1.

Lets's calculate LCM of 707,7174

Given numbers has no common factors except 1. So, there LCM is their product i.e 5072018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5072018

Therefore, the GCF of Fractions 637/707,2657/7174 is 1/5072018

Least Common Multiple of 707,7174 with GCF Formula

Least Common Multiple of 707,7174 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 707,7174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,7174) = 1

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

GCF(707,7174) x common factors =1 x 1 = 1

LCM(707,7174) = ( 707 × 7174 ) / 1

LCM(707,7174) = 5072018 / 1

LCM(707,7174) = 5072018


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 637/707, 2657/7174

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 637/707, 2657/7174?

Answer: GCF of Numerators as per given numbers 637/707, 2657/7174 is

GCF of Numerators i.e. for 637,2657 is 1

LCM of denominators i.e. for 707,7174 is 5072018.

Thus, GCF of Fractions is 1/5072018.Finally, GCF of Fractions for 637/707, 2657/7174 is 1/5072018.