Greatest Common Factor of 133/805, 179/959, 135/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 133/805, 179/959, 135/797

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 133/805,179/959,135/797

Given fractions are 133/805,179/959,135/797

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 133,179,135

Greatest Common Factor of Numerators i.e. GCF of 133,179,135 is 1 .

LCM of Denominators means LCM of 805,959,797 as per the given fractions.

LCM of 805,959,797 is 87897145 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 133,179,135

GCF of Fractions 133/805,179/959,135/797 is 1/87897145

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

Greatest Common Factor of 133,179,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,179,135 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 179

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

1,179

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 133,179,135 . The biggest common factor number is the GCF number.
So the greatest common factor 133,179,135 is 1.

Lets's calculate LCM of 805,959,797

7 805, 959, 797
115, 137, 797

∴ So the LCM of the given numbers is 7 x 115 x 137 x 797 = 87897145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87897145

Therefore, the GCF of Fractions 133/805,179/959,135/797 is 1/87897145

Least Common Multiple of 805,959,797 with GCF Formula

Least Common Multiple of 805,959,797 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 805,959,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(805,959,797) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(805,959,797) x common factors =1 x 7 = 7

LCM(805,959,797) = ( 805 × 959 × 797 ) / 7

LCM(805,959,797) = 615280015 / 7

LCM(805,959,797) = 87897145


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 133/805, 179/959, 135/797

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 133/805, 179/959, 135/797?

Answer: GCF of Numerators as per given numbers 133/805, 179/959, 135/797 is

GCF of Numerators i.e. for 133,179,135 is 1

LCM of denominators i.e. for 805,959,797 is 87897145.

Thus, GCF of Fractions is 1/87897145.Finally, GCF of Fractions for 133/805, 179/959, 135/797 is 1/87897145.