Greatest Common Factor of 475/523, 9294/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 475/523, 9294/976

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 475/523,9294/976

Given fractions are 475/523,9294/976

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 475,9294

Greatest Common Factor of Numerators i.e. GCF of 475,9294 is 1 .

LCM of Denominators means LCM of 523,976 as per the given fractions.

LCM of 523,976 is 510448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 475,9294

GCF of Fractions 475/523,9294/976 is 1/510448

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

Greatest Common Factor of 475,9294 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,9294 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 9294

List of positive integer factors of 9294 that divides 9294 without a remainder.

1,2,3,6,1549,3098,4647,9294

Greatest Common Factor

We found the factors 475,9294 . The biggest common factor number is the GCF number.
So the greatest common factor 475,9294 is 1.

Lets's calculate LCM of 523,976

Given numbers has no common factors except 1. So, there LCM is their product i.e 510448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/510448

Therefore, the GCF of Fractions 475/523,9294/976 is 1/510448

Least Common Multiple of 523,976 with GCF Formula

Least Common Multiple of 523,976 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 523,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,976) = 1

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

GCF(523,976) x common factors =1 x 1 = 1

LCM(523,976) = ( 523 × 976 ) / 1

LCM(523,976) = 510448 / 1

LCM(523,976) = 510448


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 475/523, 9294/976

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 475/523, 9294/976?

Answer: GCF of Numerators as per given numbers 475/523, 9294/976 is

GCF of Numerators i.e. for 475,9294 is 1

LCM of denominators i.e. for 523,976 is 510448.

Thus, GCF of Fractions is 1/510448.Finally, GCF of Fractions for 475/523, 9294/976 is 1/510448.