Greatest Common Factor of 9652/79, 4956/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9652/79, 4956/665

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 9652/79,4956/665

Given fractions are 9652/79,4956/665

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 9652,4956

Greatest Common Factor of Numerators i.e. GCF of 9652,4956 is 4 .

LCM of Denominators means LCM of 79,665 as per the given fractions.

LCM of 79,665 is 52535 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9652,4956

GCF of Fractions 9652/79,4956/665 is 4/52535

2 9652, 4956
2 4826, 2478
2413, 1239

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9652,4956 By Matching Biggest Common Factor Method

Greatest Common Factor of 9652,4956 By Matching Biggest Common Factor Method

Factors of 9652

List of positive integer factors of 9652 that divides 9652 without a remainder.

1,2,4,19,38,76,127,254,508,2413,4826,9652

Factors of 4956

List of positive integer factors of 4956 that divides 4956 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,59,84,118,177,236,354,413,708,826,1239,1652,2478,4956

Greatest Common Factor

We found the factors 9652,4956 . The biggest common factor number is the GCF number.
So the greatest common factor 9652,4956 is 4.

Lets's calculate LCM of 79,665

Given numbers has no common factors except 1. So, there LCM is their product i.e 52535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/52535

Therefore, the GCF of Fractions 9652/79,4956/665 is 4/52535

Least Common Multiple of 79,665 with GCF Formula

Least Common Multiple of 79,665 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 79,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,665) = 1

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

GCF(79,665) x common factors =1 x 1 = 1

LCM(79,665) = ( 79 × 665 ) / 1

LCM(79,665) = 52535 / 1

LCM(79,665) = 52535


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 9652/79, 4956/665

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 9652/79, 4956/665?

Answer: GCF of Numerators as per given numbers 9652/79, 4956/665 is

GCF of Numerators i.e. for 9652,4956 is 4

LCM of denominators i.e. for 79,665 is 52535.

Thus, GCF of Fractions is 4/52535.Finally, GCF of Fractions for 9652/79, 4956/665 is 4/52535.