Greatest Common Factor of 2162/230, 8043/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2162/230, 8043/920

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 2162/230,8043/920

Given fractions are 2162/230,8043/920

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 2162,8043

Greatest Common Factor of Numerators i.e. GCF of 2162,8043 is 1 .

LCM of Denominators means LCM of 230,920 as per the given fractions.

LCM of 230,920 is 920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2162,8043

GCF of Fractions 2162/230,8043/920 is 1/920

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

Greatest Common Factor of 2162,8043 By Matching Biggest Common Factor Method

Greatest Common Factor of 2162,8043 By Matching Biggest Common Factor Method

Factors of 2162

List of positive integer factors of 2162 that divides 2162 without a remainder.

1,2,23,46,47,94,1081,2162

Factors of 8043

List of positive integer factors of 8043 that divides 8043 without a remainder.

1,3,7,21,383,1149,2681,8043

Greatest Common Factor

We found the factors 2162,8043 . The biggest common factor number is the GCF number.
So the greatest common factor 2162,8043 is 1.

Lets's calculate LCM of 230,920

2 230, 920
5 115, 460
23 23, 92
1, 4

∴ So the LCM of the given numbers is 2 x 5 x 23 x 1 x 4 = 920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/920

Therefore, the GCF of Fractions 2162/230,8043/920 is 1/920

Least Common Multiple of 230,920 with GCF Formula

Least Common Multiple of 230,920 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 230,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,920) = 230

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

GCF(230,920) x common factors =230 x 1 = 230

LCM(230,920) = ( 230 × 920 ) / 230

LCM(230,920) = 211600 / 230

LCM(230,920) = 920


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 2162/230, 8043/920

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 2162/230, 8043/920?

Answer: GCF of Numerators as per given numbers 2162/230, 8043/920 is

GCF of Numerators i.e. for 2162,8043 is 1

LCM of denominators i.e. for 230,920 is 920.

Thus, GCF of Fractions is 1/920.Finally, GCF of Fractions for 2162/230, 8043/920 is 1/920.