Greatest Common Factor of 9662/11, 9279/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9662/11, 9279/422

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 9662/11,9279/422

Given fractions are 9662/11,9279/422

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 9662,9279

Greatest Common Factor of Numerators i.e. GCF of 9662,9279 is 1 .

LCM of Denominators means LCM of 11,422 as per the given fractions.

LCM of 11,422 is 4642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9662,9279

GCF of Fractions 9662/11,9279/422 is 1/4642

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

Greatest Common Factor of 9662,9279 By Matching Biggest Common Factor Method

Greatest Common Factor of 9662,9279 By Matching Biggest Common Factor Method

Factors of 9662

List of positive integer factors of 9662 that divides 9662 without a remainder.

1,2,4831,9662

Factors of 9279

List of positive integer factors of 9279 that divides 9279 without a remainder.

1,3,9,1031,3093,9279

Greatest Common Factor

We found the factors 9662,9279 . The biggest common factor number is the GCF number.
So the greatest common factor 9662,9279 is 1.

Lets's calculate LCM of 11,422

Given numbers has no common factors except 1. So, there LCM is their product i.e 4642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4642

Therefore, the GCF of Fractions 9662/11,9279/422 is 1/4642

Least Common Multiple of 11,422 with GCF Formula

Least Common Multiple of 11,422 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 11,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,422) = 1

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

GCF(11,422) x common factors =1 x 1 = 1

LCM(11,422) = ( 11 × 422 ) / 1

LCM(11,422) = 4642 / 1

LCM(11,422) = 4642


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 9662/11, 9279/422

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 9662/11, 9279/422?

Answer: GCF of Numerators as per given numbers 9662/11, 9279/422 is

GCF of Numerators i.e. for 9662,9279 is 1

LCM of denominators i.e. for 11,422 is 4642.

Thus, GCF of Fractions is 1/4642.Finally, GCF of Fractions for 9662/11, 9279/422 is 1/4642.