Greatest Common Factor of 301/42, 973/39, 644/58

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 301/42, 973/39, 644/58

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 301/42,973/39,644/58

Given fractions are 301/42,973/39,644/58

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 301,973,644

Greatest Common Factor of Numerators i.e. GCF of 301,973,644 is 7 .

LCM of Denominators means LCM of 42,39,58 as per the given fractions.

LCM of 42,39,58 is 15834 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 301,973,644

GCF of Fractions 301/42,973/39,644/58 is 7/15834

7 301, 973, 644
43, 139, 92

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 301,973,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,973,644 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 301,973,644 . The biggest common factor number is the GCF number.
So the greatest common factor 301,973,644 is 7.

Lets's calculate LCM of 42,39,58

2 42, 39, 58
3 21, 39, 29
7, 13, 29

∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 29 = 15834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/15834

Therefore, the GCF of Fractions 301/42,973/39,644/58 is 7/15834

Least Common Multiple of 42,39,58 with GCF Formula

Least Common Multiple of 42,39,58 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 42,39,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,39,58) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(42,39,58) x common factors =1 x 6 = 6

LCM(42,39,58) = ( 42 × 39 × 58 ) / 6

LCM(42,39,58) = 95004 / 6

LCM(42,39,58) = 15834


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 301/42, 973/39, 644/58

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 301/42, 973/39, 644/58?

Answer: GCF of Numerators as per given numbers 301/42, 973/39, 644/58 is

GCF of Numerators i.e. for 301,973,644 is 7

LCM of denominators i.e. for 42,39,58 is 15834.

Thus, GCF of Fractions is 7/15834.Finally, GCF of Fractions for 301/42, 973/39, 644/58 is 7/15834.