Greatest Common Factor of 6/76, 73/31, 39/625, 185/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/76, 73/31, 39/625, 185/743

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 6/76,73/31,39/625,185/743

Given fractions are 6/76,73/31,39/625,185/743

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 6,73,39,185

Greatest Common Factor of Numerators i.e. GCF of 6,73,39,185 is 1 .

LCM of Denominators means LCM of 76,31,625,743 as per the given fractions.

LCM of 76,31,625,743 is 1094067500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,73,39,185

GCF of Fractions 6/76,73/31,39/625,185/743 is 1/1094067500

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

Greatest Common Factor of 6,73,39,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,73,39,185 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 6,73,39,185 . The biggest common factor number is the GCF number.
So the greatest common factor 6,73,39,185 is 1.

Lets's calculate LCM of 76,31,625,743

Given numbers has no common factors except 1. So, there LCM is their product i.e 1094067500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1094067500

Therefore, the GCF of Fractions 6/76,73/31,39/625,185/743 is 1/1094067500

Least Common Multiple of 76,31,625,743 with GCF Formula

Least Common Multiple of 76,31,625,743 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 76,31,625,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,31,625,743) = 1

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

GCF(76,31,625,743) x common factors =1 x 1 = 1

LCM(76,31,625,743) = ( 76 × 31 × 625 × 743 ) / 1

LCM(76,31,625,743) = 1094067500 / 1

LCM(76,31,625,743) = 1094067500


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 6/76, 73/31, 39/625, 185/743

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 6/76, 73/31, 39/625, 185/743?

Answer: GCF of Numerators as per given numbers 6/76, 73/31, 39/625, 185/743 is

GCF of Numerators i.e. for 6,73,39,185 is 1

LCM of denominators i.e. for 76,31,625,743 is 1094067500.

Thus, GCF of Fractions is 1/1094067500.Finally, GCF of Fractions for 6/76, 73/31, 39/625, 185/743 is 1/1094067500.