Greatest Common Factor of 89/76, 30/61, 31/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 89/76, 30/61, 31/282

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 89/76,30/61,31/282

Given fractions are 89/76,30/61,31/282

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 89,30,31

Greatest Common Factor of Numerators i.e. GCF of 89,30,31 is 1 .

LCM of Denominators means LCM of 76,61,282 as per the given fractions.

LCM of 76,61,282 is 653676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 89,30,31

GCF of Fractions 89/76,30/61,31/282 is 1/653676

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

Greatest Common Factor of 89,30,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,30,31 By Matching Biggest Common Factor Method

Factors of 89

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

1,89

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

Greatest Common Factor

We found the factors 89,30,31 . The biggest common factor number is the GCF number.
So the greatest common factor 89,30,31 is 1.

Lets's calculate LCM of 76,61,282

2 76, 61, 282
38, 61, 141

∴ So the LCM of the given numbers is 2 x 38 x 61 x 141 = 653676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/653676

Therefore, the GCF of Fractions 89/76,30/61,31/282 is 1/653676

Least Common Multiple of 76,61,282 with GCF Formula

Least Common Multiple of 76,61,282 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 76,61,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,61,282) = 1

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

GCF(76,61,282) x common factors =1 x 2 = 2

LCM(76,61,282) = ( 76 × 61 × 282 ) / 2

LCM(76,61,282) = 1307352 / 2

LCM(76,61,282) = 653676


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 89/76, 30/61, 31/282

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 89/76, 30/61, 31/282?

Answer: GCF of Numerators as per given numbers 89/76, 30/61, 31/282 is

GCF of Numerators i.e. for 89,30,31 is 1

LCM of denominators i.e. for 76,61,282 is 653676.

Thus, GCF of Fractions is 1/653676.Finally, GCF of Fractions for 89/76, 30/61, 31/282 is 1/653676.