Greatest Common Factor of 81/49, 520/82, 719/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/49, 520/82, 719/941

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 81/49,520/82,719/941

Given fractions are 81/49,520/82,719/941

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 81,520,719

Greatest Common Factor of Numerators i.e. GCF of 81,520,719 is 1 .

LCM of Denominators means LCM of 49,82,941 as per the given fractions.

LCM of 49,82,941 is 3780938 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,520,719

GCF of Fractions 81/49,520/82,719/941 is 1/3780938

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

Greatest Common Factor of 81,520,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,520,719 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors 81,520,719 . The biggest common factor number is the GCF number.
So the greatest common factor 81,520,719 is 1.

Lets's calculate LCM of 49,82,941

Given numbers has no common factors except 1. So, there LCM is their product i.e 3780938

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3780938

Therefore, the GCF of Fractions 81/49,520/82,719/941 is 1/3780938

Least Common Multiple of 49,82,941 with GCF Formula

Least Common Multiple of 49,82,941 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 49,82,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,82,941) = 1

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

GCF(49,82,941) x common factors =1 x 1 = 1

LCM(49,82,941) = ( 49 × 82 × 941 ) / 1

LCM(49,82,941) = 3780938 / 1

LCM(49,82,941) = 3780938


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 81/49, 520/82, 719/941

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 81/49, 520/82, 719/941?

Answer: GCF of Numerators as per given numbers 81/49, 520/82, 719/941 is

GCF of Numerators i.e. for 81,520,719 is 1

LCM of denominators i.e. for 49,82,941 is 3780938.

Thus, GCF of Fractions is 1/3780938.Finally, GCF of Fractions for 81/49, 520/82, 719/941 is 1/3780938.