Greatest Common Factor of 520/66, 312/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 520/66, 312/972

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 520/66,312/972

Given fractions are 520/66,312/972

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 520,312

Greatest Common Factor of Numerators i.e. GCF of 520,312 is 104 .

LCM of Denominators means LCM of 66,972 as per the given fractions.

LCM of 66,972 is 10692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 520,312

GCF of Fractions 520/66,312/972 is 104/10692

2 520, 312
2 260, 156
2 130, 78
13 65, 39
5, 3

∴ So the GCF of the given numbers is 2 x 2 x 2 x 13 = 104

Greatest Common Factor of 520,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,312 By Matching Biggest Common Factor Method

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

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 520,312 . The biggest common factor number is the GCF number.
So the greatest common factor 520,312 is 104.

Lets's calculate LCM of 66,972

2 66, 972
3 33, 486
11, 162

∴ So the LCM of the given numbers is 2 x 3 x 11 x 162 = 10692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 104/10692

Therefore, the GCF of Fractions 520/66,312/972 is 104/10692

Least Common Multiple of 66,972 with GCF Formula

Least Common Multiple of 66,972 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 66,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,972) = 6

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

GCF(66,972) x common factors =6 x 1 = 6

LCM(66,972) = ( 66 × 972 ) / 6

LCM(66,972) = 64152 / 6

LCM(66,972) = 10692


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 520/66, 312/972

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 520/66, 312/972?

Answer: GCF of Numerators as per given numbers 520/66, 312/972 is

GCF of Numerators i.e. for 520,312 is 104

LCM of denominators i.e. for 66,972 is 10692.

Thus, GCF of Fractions is 104/10692.Finally, GCF of Fractions for 520/66, 312/972 is 104/10692.