Greatest Common Factor of 494/83, 1093/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 494/83, 1093/165

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 494/83,1093/165

Given fractions are 494/83,1093/165

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 494,1093

Greatest Common Factor of Numerators i.e. GCF of 494,1093 is 1 .

LCM of Denominators means LCM of 83,165 as per the given fractions.

LCM of 83,165 is 13695 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 494,1093

GCF of Fractions 494/83,1093/165 is 1/13695

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

Greatest Common Factor of 494,1093 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,1093 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 1093

List of positive integer factors of 1093 that divides 1093 without a remainder.

1,1093

Greatest Common Factor

We found the factors 494,1093 . The biggest common factor number is the GCF number.
So the greatest common factor 494,1093 is 1.

Lets's calculate LCM of 83,165

Given numbers has no common factors except 1. So, there LCM is their product i.e 13695

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13695

Therefore, the GCF of Fractions 494/83,1093/165 is 1/13695

Least Common Multiple of 83,165 with GCF Formula

Least Common Multiple of 83,165 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 83,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,165) = 1

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

GCF(83,165) x common factors =1 x 1 = 1

LCM(83,165) = ( 83 × 165 ) / 1

LCM(83,165) = 13695 / 1

LCM(83,165) = 13695


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 494/83, 1093/165

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 494/83, 1093/165?

Answer: GCF of Numerators as per given numbers 494/83, 1093/165 is

GCF of Numerators i.e. for 494,1093 is 1

LCM of denominators i.e. for 83,165 is 13695.

Thus, GCF of Fractions is 1/13695.Finally, GCF of Fractions for 494/83, 1093/165 is 1/13695.