Greatest Common Factor of 9812/37, 2833/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9812/37, 2833/724

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 9812/37,2833/724

Given fractions are 9812/37,2833/724

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 9812,2833

Greatest Common Factor of Numerators i.e. GCF of 9812,2833 is 1 .

LCM of Denominators means LCM of 37,724 as per the given fractions.

LCM of 37,724 is 26788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9812,2833

GCF of Fractions 9812/37,2833/724 is 1/26788

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

Greatest Common Factor of 9812,2833 By Matching Biggest Common Factor Method

Greatest Common Factor of 9812,2833 By Matching Biggest Common Factor Method

Factors of 9812

List of positive integer factors of 9812 that divides 9812 without a remainder.

1,2,4,11,22,44,223,446,892,2453,4906,9812

Factors of 2833

List of positive integer factors of 2833 that divides 2833 without a remainder.

1,2833

Greatest Common Factor

We found the factors 9812,2833 . The biggest common factor number is the GCF number.
So the greatest common factor 9812,2833 is 1.

Lets's calculate LCM of 37,724

Given numbers has no common factors except 1. So, there LCM is their product i.e 26788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26788

Therefore, the GCF of Fractions 9812/37,2833/724 is 1/26788

Least Common Multiple of 37,724 with GCF Formula

Least Common Multiple of 37,724 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 37,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,724) = 1

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

GCF(37,724) x common factors =1 x 1 = 1

LCM(37,724) = ( 37 × 724 ) / 1

LCM(37,724) = 26788 / 1

LCM(37,724) = 26788


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 9812/37, 2833/724

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 9812/37, 2833/724?

Answer: GCF of Numerators as per given numbers 9812/37, 2833/724 is

GCF of Numerators i.e. for 9812,2833 is 1

LCM of denominators i.e. for 37,724 is 26788.

Thus, GCF of Fractions is 1/26788.Finally, GCF of Fractions for 9812/37, 2833/724 is 1/26788.