Greatest Common Factor of 756/6136, 874/5749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/6136, 874/5749

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 756/6136,874/5749

Given fractions are 756/6136,874/5749

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 756,874

Greatest Common Factor of Numerators i.e. GCF of 756,874 is 2 .

LCM of Denominators means LCM of 6136,5749 as per the given fractions.

LCM of 6136,5749 is 35275864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,874

GCF of Fractions 756/6136,874/5749 is 2/35275864

2 756, 874
378, 437

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

Greatest Common Factor of 756,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,874 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 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 756,874 . The biggest common factor number is the GCF number.
So the greatest common factor 756,874 is 2.

Lets's calculate LCM of 6136,5749

Given numbers has no common factors except 1. So, there LCM is their product i.e 35275864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35275864

Therefore, the GCF of Fractions 756/6136,874/5749 is 2/35275864

Least Common Multiple of 6136,5749 with GCF Formula

Least Common Multiple of 6136,5749 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 6136,5749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6136,5749) = 1

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

GCF(6136,5749) x common factors =1 x 1 = 1

LCM(6136,5749) = ( 6136 × 5749 ) / 1

LCM(6136,5749) = 35275864 / 1

LCM(6136,5749) = 35275864


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 756/6136, 874/5749

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 756/6136, 874/5749?

Answer: GCF of Numerators as per given numbers 756/6136, 874/5749 is

GCF of Numerators i.e. for 756,874 is 2

LCM of denominators i.e. for 6136,5749 is 35275864.

Thus, GCF of Fractions is 2/35275864.Finally, GCF of Fractions for 756/6136, 874/5749 is 2/35275864.