Greatest Common Factor of 756/640, 1078/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/640, 1078/515

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 756/640,1078/515

Given fractions are 756/640,1078/515

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 756,1078

Greatest Common Factor of Numerators i.e. GCF of 756,1078 is 14 .

LCM of Denominators means LCM of 640,515 as per the given fractions.

LCM of 640,515 is 65920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,1078

GCF of Fractions 756/640,1078/515 is 14/65920

2 756, 1078
7 378, 539
54, 77

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 756,1078 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,1078 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 1078

List of positive integer factors of 1078 that divides 1078 without a remainder.

1,2,7,11,14,22,49,77,98,154,539,1078

Greatest Common Factor

We found the factors 756,1078 . The biggest common factor number is the GCF number.
So the greatest common factor 756,1078 is 14.

Lets's calculate LCM of 640,515

5 640, 515
128, 103

∴ So the LCM of the given numbers is 5 x 128 x 103 = 65920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/65920

Therefore, the GCF of Fractions 756/640,1078/515 is 14/65920

Least Common Multiple of 640,515 with GCF Formula

Least Common Multiple of 640,515 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 640,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,515) = 5

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

GCF(640,515) x common factors =5 x 1 = 5

LCM(640,515) = ( 640 × 515 ) / 5

LCM(640,515) = 329600 / 5

LCM(640,515) = 65920


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 756/640, 1078/515

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 756/640, 1078/515?

Answer: GCF of Numerators as per given numbers 756/640, 1078/515 is

GCF of Numerators i.e. for 756,1078 is 14

LCM of denominators i.e. for 640,515 is 65920.

Thus, GCF of Fractions is 14/65920.Finally, GCF of Fractions for 756/640, 1078/515 is 14/65920.