Greatest Common Factor of 6552/531, 7857/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 6552/531, 7857/307

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 6552/531,7857/307

Given fractions are 6552/531,7857/307

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 6552,7857

Greatest Common Factor of Numerators i.e. GCF of 6552,7857 is 9 .

LCM of Denominators means LCM of 531,307 as per the given fractions.

LCM of 531,307 is 163017 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6552,7857

GCF of Fractions 6552/531,7857/307 is 9/163017

3 6552, 7857
3 2184, 2619
728, 873

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 6552,7857 By Matching Biggest Common Factor Method

Greatest Common Factor of 6552,7857 By Matching Biggest Common Factor Method

Factors of 6552

List of positive integer factors of 6552 that divides 6552 without a remainder.

1,2,3,4,6,7,8,9,12,13,14,18,21,24,26,28,36,39,42,52,56,63,72,78,84,91,104,117,126,156,168,182,234,252,273,312,364,468,504,546,728,819,936,1092,1638,2184,3276,6552

Factors of 7857

List of positive integer factors of 7857 that divides 7857 without a remainder.

1,3,9,27,81,97,291,873,2619,7857

Greatest Common Factor

We found the factors 6552,7857 . The biggest common factor number is the GCF number.
So the greatest common factor 6552,7857 is 9.


Lets's calculate LCM of 531,307

Given numbers has no common factors except 1. So, there LCM is their product i.e 163017

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/163017

Therefore, the GCF of Fractions 6552/531,7857/307 is 9/163017

Least Common Multiple of 531,307 with GCF Formula

Least Common Multiple of 531,307 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 531,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,307) = 1

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

GCF(531,307) x common factors =1 x 1 = 1

LCM(531,307) = ( 531 × 307 ) / 1

LCM(531,307) = 163017 / 1

LCM(531,307) = 163017


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 6552/531, 7857/307

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 6552/531, 7857/307?

Answer: GCF of Numerators as per given numbers 6552/531, 7857/307 is

GCF of Numerators i.e. for 6552,7857 is 9

LCM of denominators i.e. for 531,307 is 163017.

Thus, GCF of Fractions is 9/163017.Finally, GCF of Fractions for 6552/531, 7857/307 is 9/163017.