Greatest Common Factor of 6/20, 81/74, 35/521, 768/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/20, 81/74, 35/521, 768/566

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 6/20,81/74,35/521,768/566

Given fractions are 6/20,81/74,35/521,768/566

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 6,81,35,768

Greatest Common Factor of Numerators i.e. GCF of 6,81,35,768 is 1 .

LCM of Denominators means LCM of 20,74,521,566 as per the given fractions.

LCM of 20,74,521,566 is 109107820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,81,35,768

GCF of Fractions 6/20,81/74,35/521,768/566 is 1/109107820

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

Greatest Common Factor of 6,81,35,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,81,35,768 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 81

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

1,3,9,27,81

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 6,81,35,768 . The biggest common factor number is the GCF number.
So the greatest common factor 6,81,35,768 is 1.

Lets's calculate LCM of 20,74,521,566

2 20, 74, 521, 566
10, 37, 521, 283

∴ So the LCM of the given numbers is 2 x 10 x 37 x 521 x 283 = 109107820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109107820

Therefore, the GCF of Fractions 6/20,81/74,35/521,768/566 is 1/109107820

Least Common Multiple of 20,74,521,566 with GCF Formula

Least Common Multiple of 20,74,521,566 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 20,74,521,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,74,521,566) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(20,74,521,566) x common factors =1 x 4 = 4

LCM(20,74,521,566) = ( 20 × 74 × 521 × 566 ) / 4

LCM(20,74,521,566) = 436431280 / 4

LCM(20,74,521,566) = 109107820


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 6/20, 81/74, 35/521, 768/566

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 6/20, 81/74, 35/521, 768/566?

Answer: GCF of Numerators as per given numbers 6/20, 81/74, 35/521, 768/566 is

GCF of Numerators i.e. for 6,81,35,768 is 1

LCM of denominators i.e. for 20,74,521,566 is 109107820.

Thus, GCF of Fractions is 1/109107820.Finally, GCF of Fractions for 6/20, 81/74, 35/521, 768/566 is 1/109107820.