Greatest Common Factor of 9311/840, 4893/5132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9311/840, 4893/5132

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 9311/840,4893/5132

Given fractions are 9311/840,4893/5132

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 9311,4893

Greatest Common Factor of Numerators i.e. GCF of 9311,4893 is 1 .

LCM of Denominators means LCM of 840,5132 as per the given fractions.

LCM of 840,5132 is 1077720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9311,4893

GCF of Fractions 9311/840,4893/5132 is 1/1077720

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

Greatest Common Factor of 9311,4893 By Matching Biggest Common Factor Method

Greatest Common Factor of 9311,4893 By Matching Biggest Common Factor Method

Factors of 9311

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

1,9311

Factors of 4893

List of positive integer factors of 4893 that divides 4893 without a remainder.

1,3,7,21,233,699,1631,4893

Greatest Common Factor

We found the factors 9311,4893 . The biggest common factor number is the GCF number.
So the greatest common factor 9311,4893 is 1.

Lets's calculate LCM of 840,5132

2 840, 5132
2 420, 2566
210, 1283

∴ So the LCM of the given numbers is 2 x 2 x 210 x 1283 = 1077720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1077720

Therefore, the GCF of Fractions 9311/840,4893/5132 is 1/1077720

Least Common Multiple of 840,5132 with GCF Formula

Least Common Multiple of 840,5132 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 840,5132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,5132) = 4

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

GCF(840,5132) x common factors =4 x 1 = 4

LCM(840,5132) = ( 840 × 5132 ) / 4

LCM(840,5132) = 4310880 / 4

LCM(840,5132) = 1077720


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 9311/840, 4893/5132

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 9311/840, 4893/5132?

Answer: GCF of Numerators as per given numbers 9311/840, 4893/5132 is

GCF of Numerators i.e. for 9311,4893 is 1

LCM of denominators i.e. for 840,5132 is 1077720.

Thus, GCF of Fractions is 1/1077720.Finally, GCF of Fractions for 9311/840, 4893/5132 is 1/1077720.