Greatest Common Factor of 79/260, 6915/9232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 79/260, 6915/9232

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 79/260,6915/9232

Given fractions are 79/260,6915/9232

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 79,6915

Greatest Common Factor of Numerators i.e. GCF of 79,6915 is 1 .

LCM of Denominators means LCM of 260,9232 as per the given fractions.

LCM of 260,9232 is 600080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,6915

GCF of Fractions 79/260,6915/9232 is 1/600080

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 79,6915 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,6915 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 6915

List of positive integer factors of 6915 that divides 6915 without a remainder.

1,3,5,15,461,1383,2305,6915

Greatest Common Factor

We found the factors 79,6915 . The biggest common factor number is the GCF number.
So the greatest common factor 79,6915 is 1.


Lets's calculate LCM of 260,9232

2 260, 9232
2 130, 4616
65, 2308

∴ So the LCM of the given numbers is 2 x 2 x 65 x 2308 = 600080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/600080

Therefore, the GCF of Fractions 79/260,6915/9232 is 1/600080

Least Common Multiple of 260,9232 with GCF Formula

Least Common Multiple of 260,9232 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 260,9232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,9232) = 4

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

GCF(260,9232) x common factors =4 x 1 = 4

LCM(260,9232) = ( 260 × 9232 ) / 4

LCM(260,9232) = 2400320 / 4

LCM(260,9232) = 600080


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 79/260, 6915/9232

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 79/260, 6915/9232?

Answer: GCF of Numerators as per given numbers 79/260, 6915/9232 is

GCF of Numerators i.e. for 79,6915 is 1

LCM of denominators i.e. for 260,9232 is 600080.

Thus, GCF of Fractions is 1/600080.Finally, GCF of Fractions for 79/260, 6915/9232 is 1/600080.