Greatest Common Factor of 2631/63, 5036/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2631/63, 5036/686

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 2631/63,5036/686

Given fractions are 2631/63,5036/686

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 2631,5036

Greatest Common Factor of Numerators i.e. GCF of 2631,5036 is 1 .

LCM of Denominators means LCM of 63,686 as per the given fractions.

LCM of 63,686 is 6174 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2631,5036

GCF of Fractions 2631/63,5036/686 is 1/6174

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

Greatest Common Factor of 2631,5036 By Matching Biggest Common Factor Method

Greatest Common Factor of 2631,5036 By Matching Biggest Common Factor Method

Factors of 2631

List of positive integer factors of 2631 that divides 2631 without a remainder.

1,3,877,2631

Factors of 5036

List of positive integer factors of 5036 that divides 5036 without a remainder.

1,2,4,1259,2518,5036

Greatest Common Factor

We found the factors 2631,5036 . The biggest common factor number is the GCF number.
So the greatest common factor 2631,5036 is 1.

Lets's calculate LCM of 63,686

7 63, 686
9, 98

∴ So the LCM of the given numbers is 7 x 9 x 98 = 6174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6174

Therefore, the GCF of Fractions 2631/63,5036/686 is 1/6174

Least Common Multiple of 63,686 with GCF Formula

Least Common Multiple of 63,686 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 63,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,686) = 7

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

GCF(63,686) x common factors =7 x 1 = 7

LCM(63,686) = ( 63 × 686 ) / 7

LCM(63,686) = 43218 / 7

LCM(63,686) = 6174


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 2631/63, 5036/686

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 2631/63, 5036/686?

Answer: GCF of Numerators as per given numbers 2631/63, 5036/686 is

GCF of Numerators i.e. for 2631,5036 is 1

LCM of denominators i.e. for 63,686 is 6174.

Thus, GCF of Fractions is 1/6174.Finally, GCF of Fractions for 2631/63, 5036/686 is 1/6174.