Greatest Common Factor of 938/75, 413/54, 321/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 938/75, 413/54, 321/307

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 938/75,413/54,321/307

Given fractions are 938/75,413/54,321/307

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 938,413,321

Greatest Common Factor of Numerators i.e. GCF of 938,413,321 is 1 .

LCM of Denominators means LCM of 75,54,307 as per the given fractions.

LCM of 75,54,307 is 414450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 938,413,321

GCF of Fractions 938/75,413/54,321/307 is 1/414450

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

Greatest Common Factor of 938,413,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,413,321 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 938,413,321 . The biggest common factor number is the GCF number.
So the greatest common factor 938,413,321 is 1.

Lets's calculate LCM of 75,54,307

3 75, 54, 307
25, 18, 307

∴ So the LCM of the given numbers is 3 x 25 x 18 x 307 = 414450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414450

Therefore, the GCF of Fractions 938/75,413/54,321/307 is 1/414450

Least Common Multiple of 75,54,307 with GCF Formula

Least Common Multiple of 75,54,307 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 75,54,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,54,307) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(75,54,307) x common factors =1 x 3 = 3

LCM(75,54,307) = ( 75 × 54 × 307 ) / 3

LCM(75,54,307) = 1243350 / 3

LCM(75,54,307) = 414450


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 938/75, 413/54, 321/307

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 938/75, 413/54, 321/307?

Answer: GCF of Numerators as per given numbers 938/75, 413/54, 321/307 is

GCF of Numerators i.e. for 938,413,321 is 1

LCM of denominators i.e. for 75,54,307 is 414450.

Thus, GCF of Fractions is 1/414450.Finally, GCF of Fractions for 938/75, 413/54, 321/307 is 1/414450.