Greatest Common Factor of 634/546, 442/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 634/546, 442/381

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 634/546,442/381

Given fractions are 634/546,442/381

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 634,442

Greatest Common Factor of Numerators i.e. GCF of 634,442 is 2 .

LCM of Denominators means LCM of 546,381 as per the given fractions.

LCM of 546,381 is 69342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 634,442

GCF of Fractions 634/546,442/381 is 2/69342

2 634, 442
317, 221

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

Greatest Common Factor of 634,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,442 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 634,442 . The biggest common factor number is the GCF number.
So the greatest common factor 634,442 is 2.

Lets's calculate LCM of 546,381

3 546, 381
182, 127

∴ So the LCM of the given numbers is 3 x 182 x 127 = 69342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/69342

Therefore, the GCF of Fractions 634/546,442/381 is 2/69342

Least Common Multiple of 546,381 with GCF Formula

Least Common Multiple of 546,381 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 546,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,381) = 3

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

GCF(546,381) x common factors =3 x 1 = 3

LCM(546,381) = ( 546 × 381 ) / 3

LCM(546,381) = 208026 / 3

LCM(546,381) = 69342


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 634/546, 442/381

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 634/546, 442/381?

Answer: GCF of Numerators as per given numbers 634/546, 442/381 is

GCF of Numerators i.e. for 634,442 is 2

LCM of denominators i.e. for 546,381 is 69342.

Thus, GCF of Fractions is 2/69342.Finally, GCF of Fractions for 634/546, 442/381 is 2/69342.