Greatest Common Factor of 795/624, 960/796, 520/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 795/624, 960/796, 520/656

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 795/624,960/796,520/656

Given fractions are 795/624,960/796,520/656

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 795,960,520

Greatest Common Factor of Numerators i.e. GCF of 795,960,520 is 5 .

LCM of Denominators means LCM of 624,796,656 as per the given fractions.

LCM of 624,796,656 is 5091216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 795,960,520

GCF of Fractions 795/624,960/796,520/656 is 5/5091216

5 795, 960, 520
159, 192, 104

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 795,960,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,960,520 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 795,960,520 . The biggest common factor number is the GCF number.
So the greatest common factor 795,960,520 is 5.

Lets's calculate LCM of 624,796,656

2 624, 796, 656
2 312, 398, 328
2 156, 199, 164
2 78, 199, 82
39, 199, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 39 x 199 x 41 = 5091216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5091216

Therefore, the GCF of Fractions 795/624,960/796,520/656 is 5/5091216

Least Common Multiple of 624,796,656 with GCF Formula

Least Common Multiple of 624,796,656 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 624,796,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,796,656) = 4

common factors(in case of two or more numbers have common factors) = 16

GCF(624,796,656) x common factors =4 x 16 = 64

LCM(624,796,656) = ( 624 × 796 × 656 ) / 64

LCM(624,796,656) = 325837824 / 64

LCM(624,796,656) = 5091216


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 795/624, 960/796, 520/656

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 795/624, 960/796, 520/656?

Answer: GCF of Numerators as per given numbers 795/624, 960/796, 520/656 is

GCF of Numerators i.e. for 795,960,520 is 5

LCM of denominators i.e. for 624,796,656 is 5091216.

Thus, GCF of Fractions is 5/5091216.Finally, GCF of Fractions for 795/624, 960/796, 520/656 is 5/5091216.