Greatest Common Factor of 252/522, 7332/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 252/522, 7332/783

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 252/522,7332/783

Given fractions are 252/522,7332/783

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 252,7332

Greatest Common Factor of Numerators i.e. GCF of 252,7332 is 12 .

LCM of Denominators means LCM of 522,783 as per the given fractions.

LCM of 522,783 is 1566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 252,7332

GCF of Fractions 252/522,7332/783 is 12/1566

2 252, 7332
2 126, 3666
3 63, 1833
21, 611

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 252,7332 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,7332 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 7332

List of positive integer factors of 7332 that divides 7332 without a remainder.

1,2,3,4,6,12,13,26,39,47,52,78,94,141,156,188,282,564,611,1222,1833,2444,3666,7332

Greatest Common Factor

We found the factors 252,7332 . The biggest common factor number is the GCF number.
So the greatest common factor 252,7332 is 12.

Lets's calculate LCM of 522,783

3 522, 783
3 174, 261
29 58, 87
2, 3

∴ So the LCM of the given numbers is 3 x 3 x 29 x 2 x 3 = 1566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1566

Therefore, the GCF of Fractions 252/522,7332/783 is 12/1566

Least Common Multiple of 522,783 with GCF Formula

Least Common Multiple of 522,783 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 522,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,783) = 261

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

GCF(522,783) x common factors =261 x 1 = 261

LCM(522,783) = ( 522 × 783 ) / 261

LCM(522,783) = 408726 / 261

LCM(522,783) = 1566


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 252/522, 7332/783

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 252/522, 7332/783?

Answer: GCF of Numerators as per given numbers 252/522, 7332/783 is

GCF of Numerators i.e. for 252,7332 is 12

LCM of denominators i.e. for 522,783 is 1566.

Thus, GCF of Fractions is 12/1566.Finally, GCF of Fractions for 252/522, 7332/783 is 12/1566.