Greatest Common Factor of 21/59, 92/38, 464/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/59, 92/38, 464/426

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 21/59,92/38,464/426

Given fractions are 21/59,92/38,464/426

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 21,92,464

Greatest Common Factor of Numerators i.e. GCF of 21,92,464 is 1 .

LCM of Denominators means LCM of 59,38,426 as per the given fractions.

LCM of 59,38,426 is 477546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,92,464

GCF of Fractions 21/59,92/38,464/426 is 1/477546

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

Greatest Common Factor of 21,92,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,92,464 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 21,92,464 . The biggest common factor number is the GCF number.
So the greatest common factor 21,92,464 is 1.

Lets's calculate LCM of 59,38,426

2 59, 38, 426
59, 19, 213

∴ So the LCM of the given numbers is 2 x 59 x 19 x 213 = 477546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477546

Therefore, the GCF of Fractions 21/59,92/38,464/426 is 1/477546

Least Common Multiple of 59,38,426 with GCF Formula

Least Common Multiple of 59,38,426 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 59,38,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,38,426) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(59,38,426) x common factors =1 x 2 = 2

LCM(59,38,426) = ( 59 × 38 × 426 ) / 2

LCM(59,38,426) = 955092 / 2

LCM(59,38,426) = 477546


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 21/59, 92/38, 464/426

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 21/59, 92/38, 464/426?

Answer: GCF of Numerators as per given numbers 21/59, 92/38, 464/426 is

GCF of Numerators i.e. for 21,92,464 is 1

LCM of denominators i.e. for 59,38,426 is 477546.

Thus, GCF of Fractions is 1/477546.Finally, GCF of Fractions for 21/59, 92/38, 464/426 is 1/477546.