Greatest Common Factor of 885/44, 413/6941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 885/44, 413/6941

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 885/44,413/6941

Given fractions are 885/44,413/6941

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 885,413

Greatest Common Factor of Numerators i.e. GCF of 885,413 is 59 .

LCM of Denominators means LCM of 44,6941 as per the given fractions.

LCM of 44,6941 is 27764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 885,413

GCF of Fractions 885/44,413/6941 is 59/27764

59 885, 413
15, 7

∴ So the GCF of the given numbers is 59 = 59

Greatest Common Factor of 885,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 885,413 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 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 885,413 . The biggest common factor number is the GCF number.
So the greatest common factor 885,413 is 59.

Lets's calculate LCM of 44,6941

11 44, 6941
4, 631

∴ So the LCM of the given numbers is 11 x 4 x 631 = 27764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/27764

Therefore, the GCF of Fractions 885/44,413/6941 is 59/27764

Least Common Multiple of 44,6941 with GCF Formula

Least Common Multiple of 44,6941 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 44,6941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,6941) = 11

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

GCF(44,6941) x common factors =11 x 1 = 11

LCM(44,6941) = ( 44 × 6941 ) / 11

LCM(44,6941) = 305404 / 11

LCM(44,6941) = 27764


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 885/44, 413/6941

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 885/44, 413/6941?

Answer: GCF of Numerators as per given numbers 885/44, 413/6941 is

GCF of Numerators i.e. for 885,413 is 59

LCM of denominators i.e. for 44,6941 is 27764.

Thus, GCF of Fractions is 59/27764.Finally, GCF of Fractions for 885/44, 413/6941 is 59/27764.