Greatest Common Factor of 905/171, 1831/1098

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 905/171, 1831/1098

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 905/171,1831/1098

Given fractions are 905/171,1831/1098

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 905,1831

Greatest Common Factor of Numerators i.e. GCF of 905,1831 is 1 .

LCM of Denominators means LCM of 171,1098 as per the given fractions.

LCM of 171,1098 is 20862 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 905,1831

GCF of Fractions 905/171,1831/1098 is 1/20862

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

Greatest Common Factor of 905,1831 By Matching Biggest Common Factor Method

Greatest Common Factor of 905,1831 By Matching Biggest Common Factor Method

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 1831

List of positive integer factors of 1831 that divides 1831 without a remainder.

1,1831

Greatest Common Factor

We found the factors 905,1831 . The biggest common factor number is the GCF number.
So the greatest common factor 905,1831 is 1.

Lets's calculate LCM of 171,1098

3 171, 1098
3 57, 366
19, 122

∴ So the LCM of the given numbers is 3 x 3 x 19 x 122 = 20862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20862

Therefore, the GCF of Fractions 905/171,1831/1098 is 1/20862

Least Common Multiple of 171,1098 with GCF Formula

Least Common Multiple of 171,1098 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 171,1098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,1098) = 9

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

GCF(171,1098) x common factors =9 x 1 = 9

LCM(171,1098) = ( 171 × 1098 ) / 9

LCM(171,1098) = 187758 / 9

LCM(171,1098) = 20862


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 905/171, 1831/1098

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 905/171, 1831/1098?

Answer: GCF of Numerators as per given numbers 905/171, 1831/1098 is

GCF of Numerators i.e. for 905,1831 is 1

LCM of denominators i.e. for 171,1098 is 20862.

Thus, GCF of Fractions is 1/20862.Finally, GCF of Fractions for 905/171, 1831/1098 is 1/20862.