Greatest Common Factor of 252/744, 885/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 252/744, 885/659

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 252/744,885/659

Given fractions are 252/744,885/659

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 252,885

Greatest Common Factor of Numerators i.e. GCF of 252,885 is 3 .

LCM of Denominators means LCM of 744,659 as per the given fractions.

LCM of 744,659 is 490296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 252,885

GCF of Fractions 252/744,885/659 is 3/490296

3 252, 885
84, 295

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 252,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,885 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 252,885 . The biggest common factor number is the GCF number.
So the greatest common factor 252,885 is 3.

Lets's calculate LCM of 744,659

Given numbers has no common factors except 1. So, there LCM is their product i.e 490296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/490296

Therefore, the GCF of Fractions 252/744,885/659 is 3/490296

Least Common Multiple of 744,659 with GCF Formula

Least Common Multiple of 744,659 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 744,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,659) = 1

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

GCF(744,659) x common factors =1 x 1 = 1

LCM(744,659) = ( 744 × 659 ) / 1

LCM(744,659) = 490296 / 1

LCM(744,659) = 490296


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 252/744, 885/659

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 252/744, 885/659?

Answer: GCF of Numerators as per given numbers 252/744, 885/659 is

GCF of Numerators i.e. for 252,885 is 3

LCM of denominators i.e. for 744,659 is 490296.

Thus, GCF of Fractions is 3/490296.Finally, GCF of Fractions for 252/744, 885/659 is 3/490296.