Greatest Common Factor of 676/72, 354/61, 272/66

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 676/72, 354/61, 272/66

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 676/72,354/61,272/66

Given fractions are 676/72,354/61,272/66

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 676,354,272

Greatest Common Factor of Numerators i.e. GCF of 676,354,272 is 2 .

LCM of Denominators means LCM of 72,61,66 as per the given fractions.

LCM of 72,61,66 is 48312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 676,354,272

GCF of Fractions 676/72,354/61,272/66 is 2/48312

2 676, 354, 272
338, 177, 136

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

Greatest Common Factor of 676,354,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,354,272 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 676,354,272 . The biggest common factor number is the GCF number.
So the greatest common factor 676,354,272 is 2.

Lets's calculate LCM of 72,61,66

2 72, 61, 66
3 36, 61, 33
12, 61, 11

∴ So the LCM of the given numbers is 2 x 3 x 12 x 61 x 11 = 48312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48312

Therefore, the GCF of Fractions 676/72,354/61,272/66 is 2/48312

Least Common Multiple of 72,61,66 with GCF Formula

Least Common Multiple of 72,61,66 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 72,61,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,61,66) = 1

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

GCF(72,61,66) x common factors =1 x 6 = 6

LCM(72,61,66) = ( 72 × 61 × 66 ) / 6

LCM(72,61,66) = 289872 / 6

LCM(72,61,66) = 48312


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 676/72, 354/61, 272/66

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 676/72, 354/61, 272/66?

Answer: GCF of Numerators as per given numbers 676/72, 354/61, 272/66 is

GCF of Numerators i.e. for 676,354,272 is 2

LCM of denominators i.e. for 72,61,66 is 48312.

Thus, GCF of Fractions is 2/48312.Finally, GCF of Fractions for 676/72, 354/61, 272/66 is 2/48312.