Greatest Common Factor of 8791/672, 9311/8262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8791/672, 9311/8262

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 8791/672,9311/8262

Given fractions are 8791/672,9311/8262

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 8791,9311

Greatest Common Factor of Numerators i.e. GCF of 8791,9311 is 1 .

LCM of Denominators means LCM of 672,8262 as per the given fractions.

LCM of 672,8262 is 925344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8791,9311

GCF of Fractions 8791/672,9311/8262 is 1/925344

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

Greatest Common Factor of 8791,9311 By Matching Biggest Common Factor Method

Greatest Common Factor of 8791,9311 By Matching Biggest Common Factor Method

Factors of 8791

List of positive integer factors of 8791 that divides 8791 without a remainder.

1,59,149,8791

Factors of 9311

List of positive integer factors of 9311 that divides 9311 without a remainder.

1,9311

Greatest Common Factor

We found the factors 8791,9311 . The biggest common factor number is the GCF number.
So the greatest common factor 8791,9311 is 1.

Lets's calculate LCM of 672,8262

2 672, 8262
3 336, 4131
112, 1377

∴ So the LCM of the given numbers is 2 x 3 x 112 x 1377 = 925344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/925344

Therefore, the GCF of Fractions 8791/672,9311/8262 is 1/925344

Least Common Multiple of 672,8262 with GCF Formula

Least Common Multiple of 672,8262 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 672,8262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,8262) = 6

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

GCF(672,8262) x common factors =6 x 1 = 6

LCM(672,8262) = ( 672 × 8262 ) / 6

LCM(672,8262) = 5552064 / 6

LCM(672,8262) = 925344


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 8791/672, 9311/8262

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 8791/672, 9311/8262?

Answer: GCF of Numerators as per given numbers 8791/672, 9311/8262 is

GCF of Numerators i.e. for 8791,9311 is 1

LCM of denominators i.e. for 672,8262 is 925344.

Thus, GCF of Fractions is 1/925344.Finally, GCF of Fractions for 8791/672, 9311/8262 is 1/925344.