Greatest Common Factor of 898/82, 1886/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 898/82, 1886/131

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 898/82,1886/131

Given fractions are 898/82,1886/131

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 898,1886

Greatest Common Factor of Numerators i.e. GCF of 898,1886 is 2 .

LCM of Denominators means LCM of 82,131 as per the given fractions.

LCM of 82,131 is 10742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 898,1886

GCF of Fractions 898/82,1886/131 is 2/10742

2 898, 1886
449, 943

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 898,1886 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,1886 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 1886

List of positive integer factors of 1886 that divides 1886 without a remainder.

1,2,23,41,46,82,943,1886

Greatest Common Factor

We found the factors 898,1886 . The biggest common factor number is the GCF number.
So the greatest common factor 898,1886 is 2.

Lets's calculate LCM of 82,131

Given numbers has no common factors except 1. So, there LCM is their product i.e 10742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10742

Therefore, the GCF of Fractions 898/82,1886/131 is 2/10742

Least Common Multiple of 82,131 with GCF Formula

Least Common Multiple of 82,131 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 82,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,131) = 1

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

GCF(82,131) x common factors =1 x 1 = 1

LCM(82,131) = ( 82 × 131 ) / 1

LCM(82,131) = 10742 / 1

LCM(82,131) = 10742


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 898/82, 1886/131

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 898/82, 1886/131?

Answer: GCF of Numerators as per given numbers 898/82, 1886/131 is

GCF of Numerators i.e. for 898,1886 is 2

LCM of denominators i.e. for 82,131 is 10742.

Thus, GCF of Fractions is 2/10742.Finally, GCF of Fractions for 898/82, 1886/131 is 2/10742.