Greatest Common Factor of 2307/395, 7761/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2307/395, 7761/149

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 2307/395,7761/149

Given fractions are 2307/395,7761/149

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 2307,7761

Greatest Common Factor of Numerators i.e. GCF of 2307,7761 is 3 .

LCM of Denominators means LCM of 395,149 as per the given fractions.

LCM of 395,149 is 58855 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2307,7761

GCF of Fractions 2307/395,7761/149 is 3/58855

3 2307, 7761
769, 2587

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2307,7761 By Matching Biggest Common Factor Method

Greatest Common Factor of 2307,7761 By Matching Biggest Common Factor Method

Factors of 2307

List of positive integer factors of 2307 that divides 2307 without a remainder.

1,3,769,2307

Factors of 7761

List of positive integer factors of 7761 that divides 7761 without a remainder.

1,3,13,39,199,597,2587,7761

Greatest Common Factor

We found the factors 2307,7761 . The biggest common factor number is the GCF number.
So the greatest common factor 2307,7761 is 3.

Lets's calculate LCM of 395,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 58855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/58855

Therefore, the GCF of Fractions 2307/395,7761/149 is 3/58855

Least Common Multiple of 395,149 with GCF Formula

Least Common Multiple of 395,149 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 395,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,149) = 1

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

GCF(395,149) x common factors =1 x 1 = 1

LCM(395,149) = ( 395 × 149 ) / 1

LCM(395,149) = 58855 / 1

LCM(395,149) = 58855


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 2307/395, 7761/149

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 2307/395, 7761/149?

Answer: GCF of Numerators as per given numbers 2307/395, 7761/149 is

GCF of Numerators i.e. for 2307,7761 is 3

LCM of denominators i.e. for 395,149 is 58855.

Thus, GCF of Fractions is 3/58855.Finally, GCF of Fractions for 2307/395, 7761/149 is 3/58855.