Greatest Common Factor of 2328/737, 7974/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2328/737, 7974/965

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 2328/737,7974/965

Given fractions are 2328/737,7974/965

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 2328,7974

Greatest Common Factor of Numerators i.e. GCF of 2328,7974 is 6 .

LCM of Denominators means LCM of 737,965 as per the given fractions.

LCM of 737,965 is 711205 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2328,7974

GCF of Fractions 2328/737,7974/965 is 6/711205

2 2328, 7974
3 1164, 3987
388, 1329

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 2328,7974 By Matching Biggest Common Factor Method

Greatest Common Factor of 2328,7974 By Matching Biggest Common Factor Method

Factors of 2328

List of positive integer factors of 2328 that divides 2328 without a remainder.

1,2,3,4,6,8,12,24,97,194,291,388,582,776,1164,2328

Factors of 7974

List of positive integer factors of 7974 that divides 7974 without a remainder.

1,2,3,6,9,18,443,886,1329,2658,3987,7974

Greatest Common Factor

We found the factors 2328,7974 . The biggest common factor number is the GCF number.
So the greatest common factor 2328,7974 is 6.

Lets's calculate LCM of 737,965

Given numbers has no common factors except 1. So, there LCM is their product i.e 711205

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/711205

Therefore, the GCF of Fractions 2328/737,7974/965 is 6/711205

Least Common Multiple of 737,965 with GCF Formula

Least Common Multiple of 737,965 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 737,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(737,965) = 1

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

GCF(737,965) x common factors =1 x 1 = 1

LCM(737,965) = ( 737 × 965 ) / 1

LCM(737,965) = 711205 / 1

LCM(737,965) = 711205


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 2328/737, 7974/965

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 2328/737, 7974/965?

Answer: GCF of Numerators as per given numbers 2328/737, 7974/965 is

GCF of Numerators i.e. for 2328,7974 is 6

LCM of denominators i.e. for 737,965 is 711205.

Thus, GCF of Fractions is 6/711205.Finally, GCF of Fractions for 2328/737, 7974/965 is 6/711205.