Greatest Common Factor of 3642/61, 9756/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3642/61, 9756/233

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 3642/61,9756/233

Given fractions are 3642/61,9756/233

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 3642,9756

Greatest Common Factor of Numerators i.e. GCF of 3642,9756 is 6 .

LCM of Denominators means LCM of 61,233 as per the given fractions.

LCM of 61,233 is 14213 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3642,9756

GCF of Fractions 3642/61,9756/233 is 6/14213

2 3642, 9756
3 1821, 4878
607, 1626

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

Greatest Common Factor of 3642,9756 By Matching Biggest Common Factor Method

Greatest Common Factor of 3642,9756 By Matching Biggest Common Factor Method

Factors of 3642

List of positive integer factors of 3642 that divides 3642 without a remainder.

1,2,3,6,607,1214,1821,3642

Factors of 9756

List of positive integer factors of 9756 that divides 9756 without a remainder.

1,2,3,4,6,9,12,18,36,271,542,813,1084,1626,2439,3252,4878,9756

Greatest Common Factor

We found the factors 3642,9756 . The biggest common factor number is the GCF number.
So the greatest common factor 3642,9756 is 6.

Lets's calculate LCM of 61,233

Given numbers has no common factors except 1. So, there LCM is their product i.e 14213

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/14213

Therefore, the GCF of Fractions 3642/61,9756/233 is 6/14213

Least Common Multiple of 61,233 with GCF Formula

Least Common Multiple of 61,233 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 61,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,233) = 1

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

GCF(61,233) x common factors =1 x 1 = 1

LCM(61,233) = ( 61 × 233 ) / 1

LCM(61,233) = 14213 / 1

LCM(61,233) = 14213


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 3642/61, 9756/233

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 3642/61, 9756/233?

Answer: GCF of Numerators as per given numbers 3642/61, 9756/233 is

GCF of Numerators i.e. for 3642,9756 is 6

LCM of denominators i.e. for 61,233 is 14213.

Thus, GCF of Fractions is 6/14213.Finally, GCF of Fractions for 3642/61, 9756/233 is 6/14213.