Greatest Common Factor of 179/26, 733/83, 974/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 179/26, 733/83, 974/42

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 179/26,733/83,974/42

Given fractions are 179/26,733/83,974/42

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 179,733,974

Greatest Common Factor of Numerators i.e. GCF of 179,733,974 is 1 .

LCM of Denominators means LCM of 26,83,42 as per the given fractions.

LCM of 26,83,42 is 45318 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 179,733,974

GCF of Fractions 179/26,733/83,974/42 is 1/45318

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

Greatest Common Factor of 179,733,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 179,733,974 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 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 179,733,974 . The biggest common factor number is the GCF number.
So the greatest common factor 179,733,974 is 1.

Lets's calculate LCM of 26,83,42

2 26, 83, 42
13, 83, 21

∴ So the LCM of the given numbers is 2 x 13 x 83 x 21 = 45318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45318

Therefore, the GCF of Fractions 179/26,733/83,974/42 is 1/45318

Least Common Multiple of 26,83,42 with GCF Formula

Least Common Multiple of 26,83,42 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 26,83,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,83,42) = 1

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

GCF(26,83,42) x common factors =1 x 2 = 2

LCM(26,83,42) = ( 26 × 83 × 42 ) / 2

LCM(26,83,42) = 90636 / 2

LCM(26,83,42) = 45318


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 179/26, 733/83, 974/42

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 179/26, 733/83, 974/42?

Answer: GCF of Numerators as per given numbers 179/26, 733/83, 974/42 is

GCF of Numerators i.e. for 179,733,974 is 1

LCM of denominators i.e. for 26,83,42 is 45318.

Thus, GCF of Fractions is 1/45318.Finally, GCF of Fractions for 179/26, 733/83, 974/42 is 1/45318.