Greatest Common Factor of 2293/116, 5097/4542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2293/116, 5097/4542

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 2293/116,5097/4542

Given fractions are 2293/116,5097/4542

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 2293,5097

Greatest Common Factor of Numerators i.e. GCF of 2293,5097 is 1 .

LCM of Denominators means LCM of 116,4542 as per the given fractions.

LCM of 116,4542 is 263436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2293,5097

GCF of Fractions 2293/116,5097/4542 is 1/263436

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

Greatest Common Factor of 2293,5097 By Matching Biggest Common Factor Method

Greatest Common Factor of 2293,5097 By Matching Biggest Common Factor Method

Factors of 2293

List of positive integer factors of 2293 that divides 2293 without a remainder.

1,2293

Factors of 5097

List of positive integer factors of 5097 that divides 5097 without a remainder.

1,3,1699,5097

Greatest Common Factor

We found the factors 2293,5097 . The biggest common factor number is the GCF number.
So the greatest common factor 2293,5097 is 1.

Lets's calculate LCM of 116,4542

2 116, 4542
58, 2271

∴ So the LCM of the given numbers is 2 x 58 x 2271 = 263436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263436

Therefore, the GCF of Fractions 2293/116,5097/4542 is 1/263436

Least Common Multiple of 116,4542 with GCF Formula

Least Common Multiple of 116,4542 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 116,4542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,4542) = 2

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

GCF(116,4542) x common factors =2 x 1 = 2

LCM(116,4542) = ( 116 × 4542 ) / 2

LCM(116,4542) = 526872 / 2

LCM(116,4542) = 263436


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 2293/116, 5097/4542

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 2293/116, 5097/4542?

Answer: GCF of Numerators as per given numbers 2293/116, 5097/4542 is

GCF of Numerators i.e. for 2293,5097 is 1

LCM of denominators i.e. for 116,4542 is 263436.

Thus, GCF of Fractions is 1/263436.Finally, GCF of Fractions for 2293/116, 5097/4542 is 1/263436.