Greatest Common Factor of 2997/31, 5233/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2997/31, 5233/690

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 2997/31,5233/690

Given fractions are 2997/31,5233/690

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 2997,5233

Greatest Common Factor of Numerators i.e. GCF of 2997,5233 is 1 .

LCM of Denominators means LCM of 31,690 as per the given fractions.

LCM of 31,690 is 21390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2997,5233

GCF of Fractions 2997/31,5233/690 is 1/21390

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

Greatest Common Factor of 2997,5233 By Matching Biggest Common Factor Method

Greatest Common Factor of 2997,5233 By Matching Biggest Common Factor Method

Factors of 2997

List of positive integer factors of 2997 that divides 2997 without a remainder.

1,3,9,27,37,81,111,333,999,2997

Factors of 5233

List of positive integer factors of 5233 that divides 5233 without a remainder.

1,5233

Greatest Common Factor

We found the factors 2997,5233 . The biggest common factor number is the GCF number.
So the greatest common factor 2997,5233 is 1.

Lets's calculate LCM of 31,690

Given numbers has no common factors except 1. So, there LCM is their product i.e 21390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21390

Therefore, the GCF of Fractions 2997/31,5233/690 is 1/21390

Least Common Multiple of 31,690 with GCF Formula

Least Common Multiple of 31,690 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 31,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,690) = 1

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

GCF(31,690) x common factors =1 x 1 = 1

LCM(31,690) = ( 31 × 690 ) / 1

LCM(31,690) = 21390 / 1

LCM(31,690) = 21390


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 2997/31, 5233/690

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 2997/31, 5233/690?

Answer: GCF of Numerators as per given numbers 2997/31, 5233/690 is

GCF of Numerators i.e. for 2997,5233 is 1

LCM of denominators i.e. for 31,690 is 21390.

Thus, GCF of Fractions is 1/21390.Finally, GCF of Fractions for 2997/31, 5233/690 is 1/21390.