Greatest Common Factor of 422/9515, 680/1324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 422/9515, 680/1324

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 422/9515,680/1324

Given fractions are 422/9515,680/1324

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 422,680

Greatest Common Factor of Numerators i.e. GCF of 422,680 is 2 .

LCM of Denominators means LCM of 9515,1324 as per the given fractions.

LCM of 9515,1324 is 12597860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 422,680

GCF of Fractions 422/9515,680/1324 is 2/12597860

2 422, 680
211, 340

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

Greatest Common Factor of 422,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,680 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 422,680 . The biggest common factor number is the GCF number.
So the greatest common factor 422,680 is 2.

Lets's calculate LCM of 9515,1324

Given numbers has no common factors except 1. So, there LCM is their product i.e 12597860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12597860

Therefore, the GCF of Fractions 422/9515,680/1324 is 2/12597860

Least Common Multiple of 9515,1324 with GCF Formula

Least Common Multiple of 9515,1324 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 9515,1324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9515,1324) = 1

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

GCF(9515,1324) x common factors =1 x 1 = 1

LCM(9515,1324) = ( 9515 × 1324 ) / 1

LCM(9515,1324) = 12597860 / 1

LCM(9515,1324) = 12597860


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 422/9515, 680/1324

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 422/9515, 680/1324?

Answer: GCF of Numerators as per given numbers 422/9515, 680/1324 is

GCF of Numerators i.e. for 422,680 is 2

LCM of denominators i.e. for 9515,1324 is 12597860.

Thus, GCF of Fractions is 2/12597860.Finally, GCF of Fractions for 422/9515, 680/1324 is 2/12597860.