Greatest Common Factor of 756/538, 287/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/538, 287/599

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 756/538,287/599

Given fractions are 756/538,287/599

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 756,287

Greatest Common Factor of Numerators i.e. GCF of 756,287 is 7 .

LCM of Denominators means LCM of 538,599 as per the given fractions.

LCM of 538,599 is 322262 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,287

GCF of Fractions 756/538,287/599 is 7/322262

7 756, 287
108, 41

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 756,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,287 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Greatest Common Factor

We found the factors 756,287 . The biggest common factor number is the GCF number.
So the greatest common factor 756,287 is 7.

Lets's calculate LCM of 538,599

Given numbers has no common factors except 1. So, there LCM is their product i.e 322262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/322262

Therefore, the GCF of Fractions 756/538,287/599 is 7/322262

Least Common Multiple of 538,599 with GCF Formula

Least Common Multiple of 538,599 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 538,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,599) = 1

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

GCF(538,599) x common factors =1 x 1 = 1

LCM(538,599) = ( 538 × 599 ) / 1

LCM(538,599) = 322262 / 1

LCM(538,599) = 322262


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 756/538, 287/599

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 756/538, 287/599?

Answer: GCF of Numerators as per given numbers 756/538, 287/599 is

GCF of Numerators i.e. for 756,287 is 7

LCM of denominators i.e. for 538,599 is 322262.

Thus, GCF of Fractions is 7/322262.Finally, GCF of Fractions for 756/538, 287/599 is 7/322262.