Greatest Common Factor of 7547/48, 6877/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7547/48, 6877/738

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 7547/48,6877/738

Given fractions are 7547/48,6877/738

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 7547,6877

Greatest Common Factor of Numerators i.e. GCF of 7547,6877 is 1 .

LCM of Denominators means LCM of 48,738 as per the given fractions.

LCM of 48,738 is 5904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7547,6877

GCF of Fractions 7547/48,6877/738 is 1/5904

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

Greatest Common Factor of 7547,6877 By Matching Biggest Common Factor Method

Greatest Common Factor of 7547,6877 By Matching Biggest Common Factor Method

Factors of 7547

List of positive integer factors of 7547 that divides 7547 without a remainder.

1,7547

Factors of 6877

List of positive integer factors of 6877 that divides 6877 without a remainder.

1,13,23,299,529,6877

Greatest Common Factor

We found the factors 7547,6877 . The biggest common factor number is the GCF number.
So the greatest common factor 7547,6877 is 1.

Lets's calculate LCM of 48,738

2 48, 738
3 24, 369
8, 123

∴ So the LCM of the given numbers is 2 x 3 x 8 x 123 = 5904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5904

Therefore, the GCF of Fractions 7547/48,6877/738 is 1/5904

Least Common Multiple of 48,738 with GCF Formula

Least Common Multiple of 48,738 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 48,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,738) = 6

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

GCF(48,738) x common factors =6 x 1 = 6

LCM(48,738) = ( 48 × 738 ) / 6

LCM(48,738) = 35424 / 6

LCM(48,738) = 5904


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 7547/48, 6877/738

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 7547/48, 6877/738?

Answer: GCF of Numerators as per given numbers 7547/48, 6877/738 is

GCF of Numerators i.e. for 7547,6877 is 1

LCM of denominators i.e. for 48,738 is 5904.

Thus, GCF of Fractions is 1/5904.Finally, GCF of Fractions for 7547/48, 6877/738 is 1/5904.