Greatest Common Factor of 7632/96, 5874/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7632/96, 5874/365

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 7632/96,5874/365

Given fractions are 7632/96,5874/365

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 7632,5874

Greatest Common Factor of Numerators i.e. GCF of 7632,5874 is 6 .

LCM of Denominators means LCM of 96,365 as per the given fractions.

LCM of 96,365 is 35040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7632,5874

GCF of Fractions 7632/96,5874/365 is 6/35040

2 7632, 5874
3 3816, 2937
1272, 979

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

Greatest Common Factor of 7632,5874 By Matching Biggest Common Factor Method

Greatest Common Factor of 7632,5874 By Matching Biggest Common Factor Method

Factors of 7632

List of positive integer factors of 7632 that divides 7632 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,53,72,106,144,159,212,318,424,477,636,848,954,1272,1908,2544,3816,7632

Factors of 5874

List of positive integer factors of 5874 that divides 5874 without a remainder.

1,2,3,6,11,22,33,66,89,178,267,534,979,1958,2937,5874

Greatest Common Factor

We found the factors 7632,5874 . The biggest common factor number is the GCF number.
So the greatest common factor 7632,5874 is 6.

Lets's calculate LCM of 96,365

Given numbers has no common factors except 1. So, there LCM is their product i.e 35040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/35040

Therefore, the GCF of Fractions 7632/96,5874/365 is 6/35040

Least Common Multiple of 96,365 with GCF Formula

Least Common Multiple of 96,365 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 96,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,365) = 1

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

GCF(96,365) x common factors =1 x 1 = 1

LCM(96,365) = ( 96 × 365 ) / 1

LCM(96,365) = 35040 / 1

LCM(96,365) = 35040


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 7632/96, 5874/365

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 7632/96, 5874/365?

Answer: GCF of Numerators as per given numbers 7632/96, 5874/365 is

GCF of Numerators i.e. for 7632,5874 is 6

LCM of denominators i.e. for 96,365 is 35040.

Thus, GCF of Fractions is 6/35040.Finally, GCF of Fractions for 7632/96, 5874/365 is 6/35040.