Greatest Common Factor of 1911/676, 9138/7572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1911/676, 9138/7572

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 1911/676,9138/7572

Given fractions are 1911/676,9138/7572

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 1911,9138

Greatest Common Factor of Numerators i.e. GCF of 1911,9138 is 3 .

LCM of Denominators means LCM of 676,7572 as per the given fractions.

LCM of 676,7572 is 1279668 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1911,9138

GCF of Fractions 1911/676,9138/7572 is 3/1279668

3 1911, 9138
637, 3046

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1911,9138 By Matching Biggest Common Factor Method

Greatest Common Factor of 1911,9138 By Matching Biggest Common Factor Method

Factors of 1911

List of positive integer factors of 1911 that divides 1911 without a remainder.

1,3,7,13,21,39,49,91,147,273,637,1911

Factors of 9138

List of positive integer factors of 9138 that divides 9138 without a remainder.

1,2,3,6,1523,3046,4569,9138

Greatest Common Factor

We found the factors 1911,9138 . The biggest common factor number is the GCF number.
So the greatest common factor 1911,9138 is 3.

Lets's calculate LCM of 676,7572

2 676, 7572
2 338, 3786
169, 1893

∴ So the LCM of the given numbers is 2 x 2 x 169 x 1893 = 1279668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1279668

Therefore, the GCF of Fractions 1911/676,9138/7572 is 3/1279668

Least Common Multiple of 676,7572 with GCF Formula

Least Common Multiple of 676,7572 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 676,7572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,7572) = 4

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

GCF(676,7572) x common factors =4 x 1 = 4

LCM(676,7572) = ( 676 × 7572 ) / 4

LCM(676,7572) = 5118672 / 4

LCM(676,7572) = 1279668


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 1911/676, 9138/7572

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 1911/676, 9138/7572?

Answer: GCF of Numerators as per given numbers 1911/676, 9138/7572 is

GCF of Numerators i.e. for 1911,9138 is 3

LCM of denominators i.e. for 676,7572 is 1279668.

Thus, GCF of Fractions is 3/1279668.Finally, GCF of Fractions for 1911/676, 9138/7572 is 3/1279668.