Greatest Common Factor of 760/21, 362/42, 478/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 760/21, 362/42, 478/567

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 760/21,362/42,478/567

Given fractions are 760/21,362/42,478/567

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 760,362,478

Greatest Common Factor of Numerators i.e. GCF of 760,362,478 is 2 .

LCM of Denominators means LCM of 21,42,567 as per the given fractions.

LCM of 21,42,567 is 1134 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 760,362,478

GCF of Fractions 760/21,362/42,478/567 is 2/1134

2 760, 362, 478
380, 181, 239

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 760,362,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,362,478 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 760,362,478 . The biggest common factor number is the GCF number.
So the greatest common factor 760,362,478 is 2.

Lets's calculate LCM of 21,42,567

3 21, 42, 567
7 7, 14, 189
1, 2, 27

∴ So the LCM of the given numbers is 3 x 7 x 1 x 2 x 27 = 1134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1134

Therefore, the GCF of Fractions 760/21,362/42,478/567 is 2/1134

Least Common Multiple of 21,42,567 with GCF Formula

Least Common Multiple of 21,42,567 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 21,42,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,42,567) = 21

common factors(in case of two or more numbers have common factors) = 21

GCF(21,42,567) x common factors =21 x 21 = 441

LCM(21,42,567) = ( 21 × 42 × 567 ) / 441

LCM(21,42,567) = 500094 / 441

LCM(21,42,567) = 1134


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 760/21, 362/42, 478/567

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 760/21, 362/42, 478/567?

Answer: GCF of Numerators as per given numbers 760/21, 362/42, 478/567 is

GCF of Numerators i.e. for 760,362,478 is 2

LCM of denominators i.e. for 21,42,567 is 1134.

Thus, GCF of Fractions is 2/1134.Finally, GCF of Fractions for 760/21, 362/42, 478/567 is 2/1134.