Greatest Common Factor of 9475/468, 7154/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9475/468, 7154/933

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 9475/468,7154/933

Given fractions are 9475/468,7154/933

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 9475,7154

Greatest Common Factor of Numerators i.e. GCF of 9475,7154 is 1 .

LCM of Denominators means LCM of 468,933 as per the given fractions.

LCM of 468,933 is 145548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9475,7154

GCF of Fractions 9475/468,7154/933 is 1/145548

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

Greatest Common Factor of 9475,7154 By Matching Biggest Common Factor Method

Greatest Common Factor of 9475,7154 By Matching Biggest Common Factor Method

Factors of 9475

List of positive integer factors of 9475 that divides 9475 without a remainder.

1,5,25,379,1895,9475

Factors of 7154

List of positive integer factors of 7154 that divides 7154 without a remainder.

1,2,7,14,49,73,98,146,511,1022,3577,7154

Greatest Common Factor

We found the factors 9475,7154 . The biggest common factor number is the GCF number.
So the greatest common factor 9475,7154 is 1.

Lets's calculate LCM of 468,933

3 468, 933
156, 311

∴ So the LCM of the given numbers is 3 x 156 x 311 = 145548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145548

Therefore, the GCF of Fractions 9475/468,7154/933 is 1/145548

Least Common Multiple of 468,933 with GCF Formula

Least Common Multiple of 468,933 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 468,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,933) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(468,933) x common factors =3 x 1 = 3

LCM(468,933) = ( 468 × 933 ) / 3

LCM(468,933) = 436644 / 3

LCM(468,933) = 145548


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 9475/468, 7154/933

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 9475/468, 7154/933?

Answer: GCF of Numerators as per given numbers 9475/468, 7154/933 is

GCF of Numerators i.e. for 9475,7154 is 1

LCM of denominators i.e. for 468,933 is 145548.

Thus, GCF of Fractions is 1/145548.Finally, GCF of Fractions for 9475/468, 7154/933 is 1/145548.