Greatest Common Factor of 2939/35, 7233/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2939/35, 7233/704

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 2939/35,7233/704

Given fractions are 2939/35,7233/704

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 2939,7233

Greatest Common Factor of Numerators i.e. GCF of 2939,7233 is 1 .

LCM of Denominators means LCM of 35,704 as per the given fractions.

LCM of 35,704 is 24640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2939,7233

GCF of Fractions 2939/35,7233/704 is 1/24640

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

Greatest Common Factor of 2939,7233 By Matching Biggest Common Factor Method

Greatest Common Factor of 2939,7233 By Matching Biggest Common Factor Method

Factors of 2939

List of positive integer factors of 2939 that divides 2939 without a remainder.

1,2939

Factors of 7233

List of positive integer factors of 7233 that divides 7233 without a remainder.

1,3,2411,7233

Greatest Common Factor

We found the factors 2939,7233 . The biggest common factor number is the GCF number.
So the greatest common factor 2939,7233 is 1.

Lets's calculate LCM of 35,704

Given numbers has no common factors except 1. So, there LCM is their product i.e 24640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24640

Therefore, the GCF of Fractions 2939/35,7233/704 is 1/24640

Least Common Multiple of 35,704 with GCF Formula

Least Common Multiple of 35,704 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 35,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,704) = 1

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

GCF(35,704) x common factors =1 x 1 = 1

LCM(35,704) = ( 35 × 704 ) / 1

LCM(35,704) = 24640 / 1

LCM(35,704) = 24640


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 2939/35, 7233/704

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 2939/35, 7233/704?

Answer: GCF of Numerators as per given numbers 2939/35, 7233/704 is

GCF of Numerators i.e. for 2939,7233 is 1

LCM of denominators i.e. for 35,704 is 24640.

Thus, GCF of Fractions is 1/24640.Finally, GCF of Fractions for 2939/35, 7233/704 is 1/24640.