Greatest Common Factor of 80/86, 951/84, 188/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/86, 951/84, 188/264

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 80/86,951/84,188/264

Given fractions are 80/86,951/84,188/264

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 80,951,188

Greatest Common Factor of Numerators i.e. GCF of 80,951,188 is 1 .

LCM of Denominators means LCM of 86,84,264 as per the given fractions.

LCM of 86,84,264 is 79464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,951,188

GCF of Fractions 80/86,951/84,188/264 is 1/79464

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

Greatest Common Factor of 80,951,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,951,188 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 80,951,188 . The biggest common factor number is the GCF number.
So the greatest common factor 80,951,188 is 1.

Lets's calculate LCM of 86,84,264

2 86, 84, 264
2 43, 42, 132
3 43, 21, 66
43, 7, 22

∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 7 x 22 = 79464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79464

Therefore, the GCF of Fractions 80/86,951/84,188/264 is 1/79464

Least Common Multiple of 86,84,264 with GCF Formula

Least Common Multiple of 86,84,264 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 86,84,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,84,264) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(86,84,264) x common factors =2 x 12 = 24

LCM(86,84,264) = ( 86 × 84 × 264 ) / 24

LCM(86,84,264) = 1907136 / 24

LCM(86,84,264) = 79464


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 80/86, 951/84, 188/264

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 80/86, 951/84, 188/264?

Answer: GCF of Numerators as per given numbers 80/86, 951/84, 188/264 is

GCF of Numerators i.e. for 80,951,188 is 1

LCM of denominators i.e. for 86,84,264 is 79464.

Thus, GCF of Fractions is 1/79464.Finally, GCF of Fractions for 80/86, 951/84, 188/264 is 1/79464.