Greatest Common Factor of 8739/981, 2111/3420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8739/981, 2111/3420

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 8739/981,2111/3420

Given fractions are 8739/981,2111/3420

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 8739,2111

Greatest Common Factor of Numerators i.e. GCF of 8739,2111 is 1 .

LCM of Denominators means LCM of 981,3420 as per the given fractions.

LCM of 981,3420 is 372780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8739,2111

GCF of Fractions 8739/981,2111/3420 is 1/372780

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

Greatest Common Factor of 8739,2111 By Matching Biggest Common Factor Method

Greatest Common Factor of 8739,2111 By Matching Biggest Common Factor Method

Factors of 8739

List of positive integer factors of 8739 that divides 8739 without a remainder.

1,3,9,971,2913,8739

Factors of 2111

List of positive integer factors of 2111 that divides 2111 without a remainder.

1,2111

Greatest Common Factor

We found the factors 8739,2111 . The biggest common factor number is the GCF number.
So the greatest common factor 8739,2111 is 1.

Lets's calculate LCM of 981,3420

3 981, 3420
3 327, 1140
109, 380

∴ So the LCM of the given numbers is 3 x 3 x 109 x 380 = 372780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/372780

Therefore, the GCF of Fractions 8739/981,2111/3420 is 1/372780

Least Common Multiple of 981,3420 with GCF Formula

Least Common Multiple of 981,3420 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 981,3420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,3420) = 9

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

GCF(981,3420) x common factors =9 x 1 = 9

LCM(981,3420) = ( 981 × 3420 ) / 9

LCM(981,3420) = 3355020 / 9

LCM(981,3420) = 372780


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 8739/981, 2111/3420

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 8739/981, 2111/3420?

Answer: GCF of Numerators as per given numbers 8739/981, 2111/3420 is

GCF of Numerators i.e. for 8739,2111 is 1

LCM of denominators i.e. for 981,3420 is 372780.

Thus, GCF of Fractions is 1/372780.Finally, GCF of Fractions for 8739/981, 2111/3420 is 1/372780.