Greatest Common Factor of 885/474, 1062/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 885/474, 1062/809

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 885/474,1062/809

Given fractions are 885/474,1062/809

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 885,1062

Greatest Common Factor of Numerators i.e. GCF of 885,1062 is 177 .

LCM of Denominators means LCM of 474,809 as per the given fractions.

LCM of 474,809 is 383466 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 885,1062

GCF of Fractions 885/474,1062/809 is 177/383466

3 885, 1062
59 295, 354
5, 6

∴ So the GCF of the given numbers is 3 x 59 = 177

Greatest Common Factor of 885,1062 By Matching Biggest Common Factor Method

Greatest Common Factor of 885,1062 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 1062

List of positive integer factors of 1062 that divides 1062 without a remainder.

1,2,3,6,9,18,59,118,177,354,531,1062

Greatest Common Factor

We found the factors 885,1062 . The biggest common factor number is the GCF number.
So the greatest common factor 885,1062 is 177.

Lets's calculate LCM of 474,809

Given numbers has no common factors except 1. So, there LCM is their product i.e 383466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 177/383466

Therefore, the GCF of Fractions 885/474,1062/809 is 177/383466

Least Common Multiple of 474,809 with GCF Formula

Least Common Multiple of 474,809 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 474,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,809) = 1

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

GCF(474,809) x common factors =1 x 1 = 1

LCM(474,809) = ( 474 × 809 ) / 1

LCM(474,809) = 383466 / 1

LCM(474,809) = 383466


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 885/474, 1062/809

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 885/474, 1062/809?

Answer: GCF of Numerators as per given numbers 885/474, 1062/809 is

GCF of Numerators i.e. for 885,1062 is 177

LCM of denominators i.e. for 474,809 is 383466.

Thus, GCF of Fractions is 177/383466.Finally, GCF of Fractions for 885/474, 1062/809 is 177/383466.