Greatest Common Factor of 26/60, 80/77, 714/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/60, 80/77, 714/186

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 26/60,80/77,714/186

Given fractions are 26/60,80/77,714/186

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 26,80,714

Greatest Common Factor of Numerators i.e. GCF of 26,80,714 is 2 .

LCM of Denominators means LCM of 60,77,186 as per the given fractions.

LCM of 60,77,186 is 143220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,80,714

GCF of Fractions 26/60,80/77,714/186 is 2/143220

2 26, 80, 714
13, 40, 357

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 26,80,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,80,714 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

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 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 26,80,714 . The biggest common factor number is the GCF number.
So the greatest common factor 26,80,714 is 2.

Lets's calculate LCM of 60,77,186

2 60, 77, 186
3 30, 77, 93
10, 77, 31

∴ So the LCM of the given numbers is 2 x 3 x 10 x 77 x 31 = 143220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/143220

Therefore, the GCF of Fractions 26/60,80/77,714/186 is 2/143220

Least Common Multiple of 60,77,186 with GCF Formula

Least Common Multiple of 60,77,186 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 60,77,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,77,186) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(60,77,186) x common factors =1 x 6 = 6

LCM(60,77,186) = ( 60 × 77 × 186 ) / 6

LCM(60,77,186) = 859320 / 6

LCM(60,77,186) = 143220


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 26/60, 80/77, 714/186

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 26/60, 80/77, 714/186?

Answer: GCF of Numerators as per given numbers 26/60, 80/77, 714/186 is

GCF of Numerators i.e. for 26,80,714 is 2

LCM of denominators i.e. for 60,77,186 is 143220.

Thus, GCF of Fractions is 2/143220.Finally, GCF of Fractions for 26/60, 80/77, 714/186 is 2/143220.