Greatest Common Factor of 5415/877, 8757/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5415/877, 8757/748

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 5415/877,8757/748

Given fractions are 5415/877,8757/748

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 5415,8757

Greatest Common Factor of Numerators i.e. GCF of 5415,8757 is 3 .

LCM of Denominators means LCM of 877,748 as per the given fractions.

LCM of 877,748 is 655996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5415,8757

GCF of Fractions 5415/877,8757/748 is 3/655996

3 5415, 8757
1805, 2919

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

Greatest Common Factor of 5415,8757 By Matching Biggest Common Factor Method

Greatest Common Factor of 5415,8757 By Matching Biggest Common Factor Method

Factors of 5415

List of positive integer factors of 5415 that divides 5415 without a remainder.

1,3,5,15,19,57,95,285,361,1083,1805,5415

Factors of 8757

List of positive integer factors of 8757 that divides 8757 without a remainder.

1,3,7,9,21,63,139,417,973,1251,2919,8757

Greatest Common Factor

We found the factors 5415,8757 . The biggest common factor number is the GCF number.
So the greatest common factor 5415,8757 is 3.

Lets's calculate LCM of 877,748

Given numbers has no common factors except 1. So, there LCM is their product i.e 655996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/655996

Therefore, the GCF of Fractions 5415/877,8757/748 is 3/655996

Least Common Multiple of 877,748 with GCF Formula

Least Common Multiple of 877,748 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 877,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,748) = 1

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

GCF(877,748) x common factors =1 x 1 = 1

LCM(877,748) = ( 877 × 748 ) / 1

LCM(877,748) = 655996 / 1

LCM(877,748) = 655996


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 5415/877, 8757/748

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 5415/877, 8757/748?

Answer: GCF of Numerators as per given numbers 5415/877, 8757/748 is

GCF of Numerators i.e. for 5415,8757 is 3

LCM of denominators i.e. for 877,748 is 655996.

Thus, GCF of Fractions is 3/655996.Finally, GCF of Fractions for 5415/877, 8757/748 is 3/655996.