Greatest Common Factor of 9037/111, 4289/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9037/111, 4289/743

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 9037/111,4289/743

Given fractions are 9037/111,4289/743

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 9037,4289

Greatest Common Factor of Numerators i.e. GCF of 9037,4289 is 1 .

LCM of Denominators means LCM of 111,743 as per the given fractions.

LCM of 111,743 is 82473 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9037,4289

GCF of Fractions 9037/111,4289/743 is 1/82473

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

Greatest Common Factor of 9037,4289 By Matching Biggest Common Factor Method

Greatest Common Factor of 9037,4289 By Matching Biggest Common Factor Method

Factors of 9037

List of positive integer factors of 9037 that divides 9037 without a remainder.

1,7,1291,9037

Factors of 4289

List of positive integer factors of 4289 that divides 4289 without a remainder.

1,4289

Greatest Common Factor

We found the factors 9037,4289 . The biggest common factor number is the GCF number.
So the greatest common factor 9037,4289 is 1.

Lets's calculate LCM of 111,743

Given numbers has no common factors except 1. So, there LCM is their product i.e 82473

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82473

Therefore, the GCF of Fractions 9037/111,4289/743 is 1/82473

Least Common Multiple of 111,743 with GCF Formula

Least Common Multiple of 111,743 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 111,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,743) = 1

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

GCF(111,743) x common factors =1 x 1 = 1

LCM(111,743) = ( 111 × 743 ) / 1

LCM(111,743) = 82473 / 1

LCM(111,743) = 82473


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 9037/111, 4289/743

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 9037/111, 4289/743?

Answer: GCF of Numerators as per given numbers 9037/111, 4289/743 is

GCF of Numerators i.e. for 9037,4289 is 1

LCM of denominators i.e. for 111,743 is 82473.

Thus, GCF of Fractions is 1/82473.Finally, GCF of Fractions for 9037/111, 4289/743 is 1/82473.