Greatest Common Factor of 8/47, 31/40, 89/461, 117/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/47, 31/40, 89/461, 117/579

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 8/47,31/40,89/461,117/579

Given fractions are 8/47,31/40,89/461,117/579

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 8,31,89,117

Greatest Common Factor of Numerators i.e. GCF of 8,31,89,117 is 1 .

LCM of Denominators means LCM of 47,40,461,579 as per the given fractions.

LCM of 47,40,461,579 is 501807720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,31,89,117

GCF of Fractions 8/47,31/40,89/461,117/579 is 1/501807720

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

Greatest Common Factor of 8,31,89,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,31,89,117 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 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 8,31,89,117 . The biggest common factor number is the GCF number.
So the greatest common factor 8,31,89,117 is 1.

Lets's calculate LCM of 47,40,461,579

Given numbers has no common factors except 1. So, there LCM is their product i.e 501807720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/501807720

Therefore, the GCF of Fractions 8/47,31/40,89/461,117/579 is 1/501807720

Least Common Multiple of 47,40,461,579 with GCF Formula

Least Common Multiple of 47,40,461,579 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 47,40,461,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,40,461,579) = 1

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

GCF(47,40,461,579) x common factors =1 x 1 = 1

LCM(47,40,461,579) = ( 47 × 40 × 461 × 579 ) / 1

LCM(47,40,461,579) = 501807720 / 1

LCM(47,40,461,579) = 501807720


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 8/47, 31/40, 89/461, 117/579

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 8/47, 31/40, 89/461, 117/579?

Answer: GCF of Numerators as per given numbers 8/47, 31/40, 89/461, 117/579 is

GCF of Numerators i.e. for 8,31,89,117 is 1

LCM of denominators i.e. for 47,40,461,579 is 501807720.

Thus, GCF of Fractions is 1/501807720.Finally, GCF of Fractions for 8/47, 31/40, 89/461, 117/579 is 1/501807720.