Greatest Common Factor of 759/42, 846/16, 461/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 759/42, 846/16, 461/20

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 759/42,846/16,461/20

Given fractions are 759/42,846/16,461/20

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 759,846,461

Greatest Common Factor of Numerators i.e. GCF of 759,846,461 is 1 .

LCM of Denominators means LCM of 42,16,20 as per the given fractions.

LCM of 42,16,20 is 1680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 759,846,461

GCF of Fractions 759/42,846/16,461/20 is 1/1680

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

Greatest Common Factor of 759,846,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,846,461 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 759,846,461 . The biggest common factor number is the GCF number.
So the greatest common factor 759,846,461 is 1.

Lets's calculate LCM of 42,16,20

2 42, 16, 20
2 21, 8, 10
21, 4, 5

∴ So the LCM of the given numbers is 2 x 2 x 21 x 4 x 5 = 1680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1680

Therefore, the GCF of Fractions 759/42,846/16,461/20 is 1/1680

Least Common Multiple of 42,16,20 with GCF Formula

Least Common Multiple of 42,16,20 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 42,16,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,16,20) = 2

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

GCF(42,16,20) x common factors =2 x 4 = 8

LCM(42,16,20) = ( 42 × 16 × 20 ) / 8

LCM(42,16,20) = 13440 / 8

LCM(42,16,20) = 1680


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 759/42, 846/16, 461/20

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 759/42, 846/16, 461/20?

Answer: GCF of Numerators as per given numbers 759/42, 846/16, 461/20 is

GCF of Numerators i.e. for 759,846,461 is 1

LCM of denominators i.e. for 42,16,20 is 1680.

Thus, GCF of Fractions is 1/1680.Finally, GCF of Fractions for 759/42, 846/16, 461/20 is 1/1680.