Greatest Common Factor of 8/66, 31/73, 39/599, 237/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/66, 31/73, 39/599, 237/974

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 8/66,31/73,39/599,237/974

Given fractions are 8/66,31/73,39/599,237/974

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 8,31,39,237

Greatest Common Factor of Numerators i.e. GCF of 8,31,39,237 is 1 .

LCM of Denominators means LCM of 66,73,599,974 as per the given fractions.

LCM of 66,73,599,974 is 1405473234 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,31,39,237

GCF of Fractions 8/66,31/73,39/599,237/974 is 1/1405473234

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

Greatest Common Factor of 8,31,39,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,31,39,237 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 39

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

1,3,13,39

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 8,31,39,237 . The biggest common factor number is the GCF number.
So the greatest common factor 8,31,39,237 is 1.

Lets's calculate LCM of 66,73,599,974

2 66, 73, 599, 974
33, 73, 599, 487

∴ So the LCM of the given numbers is 2 x 33 x 73 x 599 x 487 = 1405473234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1405473234

Therefore, the GCF of Fractions 8/66,31/73,39/599,237/974 is 1/1405473234

Least Common Multiple of 66,73,599,974 with GCF Formula

Least Common Multiple of 66,73,599,974 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 66,73,599,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,73,599,974) = 1

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

GCF(66,73,599,974) x common factors =1 x 2 = 2

LCM(66,73,599,974) = ( 66 × 73 × 599 × 974 ) / 2

LCM(66,73,599,974) = 2810946468 / 2

LCM(66,73,599,974) = 1405473234


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 8/66, 31/73, 39/599, 237/974

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 8/66, 31/73, 39/599, 237/974?

Answer: GCF of Numerators as per given numbers 8/66, 31/73, 39/599, 237/974 is

GCF of Numerators i.e. for 8,31,39,237 is 1

LCM of denominators i.e. for 66,73,599,974 is 1405473234.

Thus, GCF of Fractions is 1/1405473234.Finally, GCF of Fractions for 8/66, 31/73, 39/599, 237/974 is 1/1405473234.