Greatest Common Factor of 2631/358, 6527/1688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2631/358, 6527/1688

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 2631/358,6527/1688

Given fractions are 2631/358,6527/1688

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 2631,6527

Greatest Common Factor of Numerators i.e. GCF of 2631,6527 is 1 .

LCM of Denominators means LCM of 358,1688 as per the given fractions.

LCM of 358,1688 is 302152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2631,6527

GCF of Fractions 2631/358,6527/1688 is 1/302152

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

Greatest Common Factor of 2631,6527 By Matching Biggest Common Factor Method

Greatest Common Factor of 2631,6527 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 6527

List of positive integer factors of 6527 that divides 6527 without a remainder.

1,61,107,6527

Greatest Common Factor

We found the factors 2631,6527 . The biggest common factor number is the GCF number.
So the greatest common factor 2631,6527 is 1.

Lets's calculate LCM of 358,1688

2 358, 1688
179, 844

∴ So the LCM of the given numbers is 2 x 179 x 844 = 302152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/302152

Therefore, the GCF of Fractions 2631/358,6527/1688 is 1/302152

Least Common Multiple of 358,1688 with GCF Formula

Least Common Multiple of 358,1688 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 358,1688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,1688) = 2

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

GCF(358,1688) x common factors =2 x 1 = 2

LCM(358,1688) = ( 358 × 1688 ) / 2

LCM(358,1688) = 604304 / 2

LCM(358,1688) = 302152


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 2631/358, 6527/1688

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 2631/358, 6527/1688?

Answer: GCF of Numerators as per given numbers 2631/358, 6527/1688 is

GCF of Numerators i.e. for 2631,6527 is 1

LCM of denominators i.e. for 358,1688 is 302152.

Thus, GCF of Fractions is 1/302152.Finally, GCF of Fractions for 2631/358, 6527/1688 is 1/302152.