Greatest Common Factor of 575/936, 338/795, 887/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 575/936, 338/795, 887/624

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 575/936,338/795,887/624

Given fractions are 575/936,338/795,887/624

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 575,338,887

Greatest Common Factor of Numerators i.e. GCF of 575,338,887 is 1 .

LCM of Denominators means LCM of 936,795,624 as per the given fractions.

LCM of 936,795,624 is 496080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 575,338,887

GCF of Fractions 575/936,338/795,887/624 is 1/496080

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

Greatest Common Factor of 575,338,887 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,338,887 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Greatest Common Factor

We found the factors 575,338,887 . The biggest common factor number is the GCF number.
So the greatest common factor 575,338,887 is 1.

Lets's calculate LCM of 936,795,624

2 936, 795, 624
2 468, 795, 312
2 234, 795, 156
3 117, 795, 78
13 39, 265, 26
3, 265, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 3 x 265 x 2 = 496080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/496080

Therefore, the GCF of Fractions 575/936,338/795,887/624 is 1/496080

Least Common Multiple of 936,795,624 with GCF Formula

Least Common Multiple of 936,795,624 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 936,795,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,795,624) = 3

common factors(in case of two or more numbers have common factors) = 312

GCF(936,795,624) x common factors =3 x 312 = 936

LCM(936,795,624) = ( 936 × 795 × 624 ) / 936

LCM(936,795,624) = 464330880 / 936

LCM(936,795,624) = 496080


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 575/936, 338/795, 887/624

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 575/936, 338/795, 887/624?

Answer: GCF of Numerators as per given numbers 575/936, 338/795, 887/624 is

GCF of Numerators i.e. for 575,338,887 is 1

LCM of denominators i.e. for 936,795,624 is 496080.

Thus, GCF of Fractions is 1/496080.Finally, GCF of Fractions for 575/936, 338/795, 887/624 is 1/496080.