Greatest Common Factor of 1167/722, 8311/9616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1167/722, 8311/9616

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 1167/722,8311/9616

Given fractions are 1167/722,8311/9616

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 1167,8311

Greatest Common Factor of Numerators i.e. GCF of 1167,8311 is 1 .

LCM of Denominators means LCM of 722,9616 as per the given fractions.

LCM of 722,9616 is 3471376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1167,8311

GCF of Fractions 1167/722,8311/9616 is 1/3471376

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

Greatest Common Factor of 1167,8311 By Matching Biggest Common Factor Method

Greatest Common Factor of 1167,8311 By Matching Biggest Common Factor Method

Factors of 1167

List of positive integer factors of 1167 that divides 1167 without a remainder.

1,3,389,1167

Factors of 8311

List of positive integer factors of 8311 that divides 8311 without a remainder.

1,8311

Greatest Common Factor

We found the factors 1167,8311 . The biggest common factor number is the GCF number.
So the greatest common factor 1167,8311 is 1.

Lets's calculate LCM of 722,9616

2 722, 9616
361, 4808

∴ So the LCM of the given numbers is 2 x 361 x 4808 = 3471376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3471376

Therefore, the GCF of Fractions 1167/722,8311/9616 is 1/3471376

Least Common Multiple of 722,9616 with GCF Formula

Least Common Multiple of 722,9616 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 722,9616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,9616) = 2

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

GCF(722,9616) x common factors =2 x 1 = 2

LCM(722,9616) = ( 722 × 9616 ) / 2

LCM(722,9616) = 6942752 / 2

LCM(722,9616) = 3471376


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 1167/722, 8311/9616

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 1167/722, 8311/9616?

Answer: GCF of Numerators as per given numbers 1167/722, 8311/9616 is

GCF of Numerators i.e. for 1167,8311 is 1

LCM of denominators i.e. for 722,9616 is 3471376.

Thus, GCF of Fractions is 1/3471376.Finally, GCF of Fractions for 1167/722, 8311/9616 is 1/3471376.