Greatest Common Factor of 179/96, 728/22, 556/28

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 179/96, 728/22, 556/28

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 179/96,728/22,556/28

Given fractions are 179/96,728/22,556/28

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 179,728,556

Greatest Common Factor of Numerators i.e. GCF of 179,728,556 is 1 .

LCM of Denominators means LCM of 96,22,28 as per the given fractions.

LCM of 96,22,28 is 7392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 179,728,556

GCF of Fractions 179/96,728/22,556/28 is 1/7392

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

Greatest Common Factor of 179,728,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 179,728,556 By Matching Biggest Common Factor Method

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 179,728,556 . The biggest common factor number is the GCF number.
So the greatest common factor 179,728,556 is 1.

Lets's calculate LCM of 96,22,28

2 96, 22, 28
2 48, 11, 14
24, 11, 7

∴ So the LCM of the given numbers is 2 x 2 x 24 x 11 x 7 = 7392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7392

Therefore, the GCF of Fractions 179/96,728/22,556/28 is 1/7392

Least Common Multiple of 96,22,28 with GCF Formula

Least Common Multiple of 96,22,28 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 96,22,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,22,28) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(96,22,28) x common factors =2 x 4 = 8

LCM(96,22,28) = ( 96 × 22 × 28 ) / 8

LCM(96,22,28) = 59136 / 8

LCM(96,22,28) = 7392


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 179/96, 728/22, 556/28

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 179/96, 728/22, 556/28?

Answer: GCF of Numerators as per given numbers 179/96, 728/22, 556/28 is

GCF of Numerators i.e. for 179,728,556 is 1

LCM of denominators i.e. for 96,22,28 is 7392.

Thus, GCF of Fractions is 1/7392.Finally, GCF of Fractions for 179/96, 728/22, 556/28 is 1/7392.