Greatest Common Factor of 7272/520, 1548/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 7272/520, 1548/645

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 7272/520,1548/645

Given fractions are 7272/520,1548/645

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 7272,1548

Greatest Common Factor of Numerators i.e. GCF of 7272,1548 is 36 .

LCM of Denominators means LCM of 520,645 as per the given fractions.

LCM of 520,645 is 67080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7272,1548

GCF of Fractions 7272/520,1548/645 is 36/67080

2 7272, 1548
2 3636, 774
3 1818, 387
3 606, 129
202, 43

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 7272,1548 By Matching Biggest Common Factor Method

Greatest Common Factor of 7272,1548 By Matching Biggest Common Factor Method

Factors of 7272

List of positive integer factors of 7272 that divides 7272 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,101,202,303,404,606,808,909,1212,1818,2424,3636,7272

Factors of 1548

List of positive integer factors of 1548 that divides 1548 without a remainder.

1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548

Greatest Common Factor

We found the factors 7272,1548 . The biggest common factor number is the GCF number.
So the greatest common factor 7272,1548 is 36.


Lets's calculate LCM of 520,645

5 520, 645
104, 129

∴ So the LCM of the given numbers is 5 x 104 x 129 = 67080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/67080

Therefore, the GCF of Fractions 7272/520,1548/645 is 36/67080

Least Common Multiple of 520,645 with GCF Formula

Least Common Multiple of 520,645 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 520,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,645) = 5

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

GCF(520,645) x common factors =5 x 1 = 5

LCM(520,645) = ( 520 × 645 ) / 5

LCM(520,645) = 335400 / 5

LCM(520,645) = 67080


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 7272/520, 1548/645

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 7272/520, 1548/645?

Answer: GCF of Numerators as per given numbers 7272/520, 1548/645 is

GCF of Numerators i.e. for 7272,1548 is 36

LCM of denominators i.e. for 520,645 is 67080.

Thus, GCF of Fractions is 36/67080.Finally, GCF of Fractions for 7272/520, 1548/645 is 36/67080.