Greatest Common Factor of 885/293, 642/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 885/293, 642/629

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 885/293,642/629

Given fractions are 885/293,642/629

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 885,642

Greatest Common Factor of Numerators i.e. GCF of 885,642 is 3 .

LCM of Denominators means LCM of 293,629 as per the given fractions.

LCM of 293,629 is 184297 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 885,642

GCF of Fractions 885/293,642/629 is 3/184297

3 885, 642
295, 214

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

Greatest Common Factor of 885,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 885,642 By Matching Biggest Common Factor Method

Factors of 885

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

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

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 885,642 . The biggest common factor number is the GCF number.
So the greatest common factor 885,642 is 3.

Lets's calculate LCM of 293,629

Given numbers has no common factors except 1. So, there LCM is their product i.e 184297

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/184297

Therefore, the GCF of Fractions 885/293,642/629 is 3/184297

Least Common Multiple of 293,629 with GCF Formula

Least Common Multiple of 293,629 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 293,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,629) = 1

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

GCF(293,629) x common factors =1 x 1 = 1

LCM(293,629) = ( 293 × 629 ) / 1

LCM(293,629) = 184297 / 1

LCM(293,629) = 184297


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 885/293, 642/629

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 885/293, 642/629?

Answer: GCF of Numerators as per given numbers 885/293, 642/629 is

GCF of Numerators i.e. for 885,642 is 3

LCM of denominators i.e. for 293,629 is 184297.

Thus, GCF of Fractions is 3/184297.Finally, GCF of Fractions for 885/293, 642/629 is 3/184297.