Greatest Common Factor of 7511/875, 5467/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7511/875, 5467/687

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 7511/875,5467/687

Given fractions are 7511/875,5467/687

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 7511,5467

Greatest Common Factor of Numerators i.e. GCF of 7511,5467 is 7 .

LCM of Denominators means LCM of 875,687 as per the given fractions.

LCM of 875,687 is 601125 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7511,5467

GCF of Fractions 7511/875,5467/687 is 7/601125

7 7511, 5467
1073, 781

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 7511,5467 By Matching Biggest Common Factor Method

Greatest Common Factor of 7511,5467 By Matching Biggest Common Factor Method

Factors of 7511

List of positive integer factors of 7511 that divides 7511 without a remainder.

1,7,29,37,203,259,1073,7511

Factors of 5467

List of positive integer factors of 5467 that divides 5467 without a remainder.

1,7,11,71,77,497,781,5467

Greatest Common Factor

We found the factors 7511,5467 . The biggest common factor number is the GCF number.
So the greatest common factor 7511,5467 is 7.

Lets's calculate LCM of 875,687

Given numbers has no common factors except 1. So, there LCM is their product i.e 601125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/601125

Therefore, the GCF of Fractions 7511/875,5467/687 is 7/601125

Least Common Multiple of 875,687 with GCF Formula

Least Common Multiple of 875,687 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 875,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(875,687) = 1

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

GCF(875,687) x common factors =1 x 1 = 1

LCM(875,687) = ( 875 × 687 ) / 1

LCM(875,687) = 601125 / 1

LCM(875,687) = 601125


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 7511/875, 5467/687

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 7511/875, 5467/687?

Answer: GCF of Numerators as per given numbers 7511/875, 5467/687 is

GCF of Numerators i.e. for 7511,5467 is 7

LCM of denominators i.e. for 875,687 is 601125.

Thus, GCF of Fractions is 7/601125.Finally, GCF of Fractions for 7511/875, 5467/687 is 7/601125.