Greatest Common Factor of 475/552, 960/288, 976/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 475/552, 960/288, 976/264

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 475/552,960/288,976/264

Given fractions are 475/552,960/288,976/264

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 475,960,976

Greatest Common Factor of Numerators i.e. GCF of 475,960,976 is 1 .

LCM of Denominators means LCM of 552,288,264 as per the given fractions.

LCM of 552,288,264 is 72864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 475,960,976

GCF of Fractions 475/552,960/288,976/264 is 1/72864

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

Greatest Common Factor of 475,960,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,960,976 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 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 475,960,976 . The biggest common factor number is the GCF number.
So the greatest common factor 475,960,976 is 1.

Lets's calculate LCM of 552,288,264

2 552, 288, 264
2 276, 144, 132
2 138, 72, 66
3 69, 36, 33
23, 12, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 23 x 12 x 11 = 72864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72864

Therefore, the GCF of Fractions 475/552,960/288,976/264 is 1/72864

Least Common Multiple of 552,288,264 with GCF Formula

Least Common Multiple of 552,288,264 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 552,288,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,288,264) = 24

common factors(in case of two or more numbers have common factors) = 24

GCF(552,288,264) x common factors =24 x 24 = 576

LCM(552,288,264) = ( 552 × 288 × 264 ) / 576

LCM(552,288,264) = 41969664 / 576

LCM(552,288,264) = 72864


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 475/552, 960/288, 976/264

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 475/552, 960/288, 976/264?

Answer: GCF of Numerators as per given numbers 475/552, 960/288, 976/264 is

GCF of Numerators i.e. for 475,960,976 is 1

LCM of denominators i.e. for 552,288,264 is 72864.

Thus, GCF of Fractions is 1/72864.Finally, GCF of Fractions for 475/552, 960/288, 976/264 is 1/72864.