Greatest Common Factor of 957/851, 603/161, 173/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 957/851, 603/161, 173/135

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 957/851,603/161,173/135

Given fractions are 957/851,603/161,173/135

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 957,603,173

Greatest Common Factor of Numerators i.e. GCF of 957,603,173 is 1 .

LCM of Denominators means LCM of 851,161,135 as per the given fractions.

LCM of 851,161,135 is 804195 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 957,603,173

GCF of Fractions 957/851,603/161,173/135 is 1/804195

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

Greatest Common Factor of 957,603,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,603,173 By Matching Biggest Common Factor Method

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors 957,603,173 . The biggest common factor number is the GCF number.
So the greatest common factor 957,603,173 is 1.

Lets's calculate LCM of 851,161,135

23 851, 161, 135
37, 7, 135

∴ So the LCM of the given numbers is 23 x 37 x 7 x 135 = 804195

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/804195

Therefore, the GCF of Fractions 957/851,603/161,173/135 is 1/804195

Least Common Multiple of 851,161,135 with GCF Formula

Least Common Multiple of 851,161,135 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 851,161,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,161,135) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(851,161,135) x common factors =1 x 23 = 23

LCM(851,161,135) = ( 851 × 161 × 135 ) / 23

LCM(851,161,135) = 18496485 / 23

LCM(851,161,135) = 804195


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 957/851, 603/161, 173/135

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 957/851, 603/161, 173/135?

Answer: GCF of Numerators as per given numbers 957/851, 603/161, 173/135 is

GCF of Numerators i.e. for 957,603,173 is 1

LCM of denominators i.e. for 851,161,135 is 804195.

Thus, GCF of Fractions is 1/804195.Finally, GCF of Fractions for 957/851, 603/161, 173/135 is 1/804195.