Greatest Common Factor of 8/76, 30/99, 31/115, 323/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/76, 30/99, 31/115, 323/616

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 8/76,30/99,31/115,323/616

Given fractions are 8/76,30/99,31/115,323/616

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 8,30,31,323

Greatest Common Factor of Numerators i.e. GCF of 8,30,31,323 is 1 .

LCM of Denominators means LCM of 76,99,115,616 as per the given fractions.

LCM of 76,99,115,616 is 12113640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,30,31,323

GCF of Fractions 8/76,30/99,31/115,323/616 is 1/12113640

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

Greatest Common Factor of 8,30,31,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,30,31,323 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 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 31

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

1,31

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 8,30,31,323 . The biggest common factor number is the GCF number.
So the greatest common factor 8,30,31,323 is 1.

Lets's calculate LCM of 76,99,115,616

2 76, 99, 115, 616
2 38, 99, 115, 308
11 19, 99, 115, 154
19, 9, 115, 14

∴ So the LCM of the given numbers is 2 x 2 x 11 x 19 x 9 x 115 x 14 = 12113640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12113640

Therefore, the GCF of Fractions 8/76,30/99,31/115,323/616 is 1/12113640

Least Common Multiple of 76,99,115,616 with GCF Formula

Least Common Multiple of 76,99,115,616 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 76,99,115,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,99,115,616) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(76,99,115,616) x common factors =1 x 44 = 44

LCM(76,99,115,616) = ( 76 × 99 × 115 × 616 ) / 44

LCM(76,99,115,616) = 533000160 / 44

LCM(76,99,115,616) = 12113640


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 8/76, 30/99, 31/115, 323/616

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 8/76, 30/99, 31/115, 323/616?

Answer: GCF of Numerators as per given numbers 8/76, 30/99, 31/115, 323/616 is

GCF of Numerators i.e. for 8,30,31,323 is 1

LCM of denominators i.e. for 76,99,115,616 is 12113640.

Thus, GCF of Fractions is 1/12113640.Finally, GCF of Fractions for 8/76, 30/99, 31/115, 323/616 is 1/12113640.