Greatest Common Factor of 132/907, 5524/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 132/907, 5524/828

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 132/907,5524/828

Given fractions are 132/907,5524/828

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 132,5524

Greatest Common Factor of Numerators i.e. GCF of 132,5524 is 4 .

LCM of Denominators means LCM of 907,828 as per the given fractions.

LCM of 907,828 is 750996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 132,5524

GCF of Fractions 132/907,5524/828 is 4/750996

2 132, 5524
2 66, 2762
33, 1381

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 132,5524 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,5524 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 5524

List of positive integer factors of 5524 that divides 5524 without a remainder.

1,2,4,1381,2762,5524

Greatest Common Factor

We found the factors 132,5524 . The biggest common factor number is the GCF number.
So the greatest common factor 132,5524 is 4.

Lets's calculate LCM of 907,828

Given numbers has no common factors except 1. So, there LCM is their product i.e 750996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/750996

Therefore, the GCF of Fractions 132/907,5524/828 is 4/750996

Least Common Multiple of 907,828 with GCF Formula

Least Common Multiple of 907,828 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 907,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,828) = 1

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

GCF(907,828) x common factors =1 x 1 = 1

LCM(907,828) = ( 907 × 828 ) / 1

LCM(907,828) = 750996 / 1

LCM(907,828) = 750996


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 132/907, 5524/828

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 132/907, 5524/828?

Answer: GCF of Numerators as per given numbers 132/907, 5524/828 is

GCF of Numerators i.e. for 132,5524 is 4

LCM of denominators i.e. for 907,828 is 750996.

Thus, GCF of Fractions is 4/750996.Finally, GCF of Fractions for 132/907, 5524/828 is 4/750996.