Greatest Common Factor of 9036/78, 5970/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9036/78, 5970/317

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 9036/78,5970/317

Given fractions are 9036/78,5970/317

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 9036,5970

Greatest Common Factor of Numerators i.e. GCF of 9036,5970 is 6 .

LCM of Denominators means LCM of 78,317 as per the given fractions.

LCM of 78,317 is 24726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9036,5970

GCF of Fractions 9036/78,5970/317 is 6/24726

2 9036, 5970
3 4518, 2985
1506, 995

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9036,5970 By Matching Biggest Common Factor Method

Greatest Common Factor of 9036,5970 By Matching Biggest Common Factor Method

Factors of 9036

List of positive integer factors of 9036 that divides 9036 without a remainder.

1,2,3,4,6,9,12,18,36,251,502,753,1004,1506,2259,3012,4518,9036

Factors of 5970

List of positive integer factors of 5970 that divides 5970 without a remainder.

1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970

Greatest Common Factor

We found the factors 9036,5970 . The biggest common factor number is the GCF number.
So the greatest common factor 9036,5970 is 6.

Lets's calculate LCM of 78,317

Given numbers has no common factors except 1. So, there LCM is their product i.e 24726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/24726

Therefore, the GCF of Fractions 9036/78,5970/317 is 6/24726

Least Common Multiple of 78,317 with GCF Formula

Least Common Multiple of 78,317 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 78,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,317) = 1

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

GCF(78,317) x common factors =1 x 1 = 1

LCM(78,317) = ( 78 × 317 ) / 1

LCM(78,317) = 24726 / 1

LCM(78,317) = 24726


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 9036/78, 5970/317

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 9036/78, 5970/317?

Answer: GCF of Numerators as per given numbers 9036/78, 5970/317 is

GCF of Numerators i.e. for 9036,5970 is 6

LCM of denominators i.e. for 78,317 is 24726.

Thus, GCF of Fractions is 6/24726.Finally, GCF of Fractions for 9036/78, 5970/317 is 6/24726.