Greatest Common Factor of 6911/676, 3155/9288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6911/676, 3155/9288

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 6911/676,3155/9288

Given fractions are 6911/676,3155/9288

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 6911,3155

Greatest Common Factor of Numerators i.e. GCF of 6911,3155 is 1 .

LCM of Denominators means LCM of 676,9288 as per the given fractions.

LCM of 676,9288 is 1569672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6911,3155

GCF of Fractions 6911/676,3155/9288 is 1/1569672

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

Greatest Common Factor of 6911,3155 By Matching Biggest Common Factor Method

Greatest Common Factor of 6911,3155 By Matching Biggest Common Factor Method

Factors of 6911

List of positive integer factors of 6911 that divides 6911 without a remainder.

1,6911

Factors of 3155

List of positive integer factors of 3155 that divides 3155 without a remainder.

1,5,631,3155

Greatest Common Factor

We found the factors 6911,3155 . The biggest common factor number is the GCF number.
So the greatest common factor 6911,3155 is 1.

Lets's calculate LCM of 676,9288

2 676, 9288
2 338, 4644
169, 2322

∴ So the LCM of the given numbers is 2 x 2 x 169 x 2322 = 1569672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1569672

Therefore, the GCF of Fractions 6911/676,3155/9288 is 1/1569672

Least Common Multiple of 676,9288 with GCF Formula

Least Common Multiple of 676,9288 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 676,9288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,9288) = 4

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

GCF(676,9288) x common factors =4 x 1 = 4

LCM(676,9288) = ( 676 × 9288 ) / 4

LCM(676,9288) = 6278688 / 4

LCM(676,9288) = 1569672


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 6911/676, 3155/9288

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 6911/676, 3155/9288?

Answer: GCF of Numerators as per given numbers 6911/676, 3155/9288 is

GCF of Numerators i.e. for 6911,3155 is 1

LCM of denominators i.e. for 676,9288 is 1569672.

Thus, GCF of Fractions is 1/1569672.Finally, GCF of Fractions for 6911/676, 3155/9288 is 1/1569672.