Greatest Common Factor of 4242/307, 3633/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4242/307, 3633/864

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 4242/307,3633/864

Given fractions are 4242/307,3633/864

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 4242,3633

Greatest Common Factor of Numerators i.e. GCF of 4242,3633 is 21 .

LCM of Denominators means LCM of 307,864 as per the given fractions.

LCM of 307,864 is 265248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4242,3633

GCF of Fractions 4242/307,3633/864 is 21/265248

3 4242, 3633
7 1414, 1211
202, 173

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 4242,3633 By Matching Biggest Common Factor Method

Greatest Common Factor of 4242,3633 By Matching Biggest Common Factor Method

Factors of 4242

List of positive integer factors of 4242 that divides 4242 without a remainder.

1,2,3,6,7,14,21,42,101,202,303,606,707,1414,2121,4242

Factors of 3633

List of positive integer factors of 3633 that divides 3633 without a remainder.

1,3,7,21,173,519,1211,3633

Greatest Common Factor

We found the factors 4242,3633 . The biggest common factor number is the GCF number.
So the greatest common factor 4242,3633 is 21.

Lets's calculate LCM of 307,864

Given numbers has no common factors except 1. So, there LCM is their product i.e 265248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/265248

Therefore, the GCF of Fractions 4242/307,3633/864 is 21/265248

Least Common Multiple of 307,864 with GCF Formula

Least Common Multiple of 307,864 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 307,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,864) = 1

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

GCF(307,864) x common factors =1 x 1 = 1

LCM(307,864) = ( 307 × 864 ) / 1

LCM(307,864) = 265248 / 1

LCM(307,864) = 265248


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 4242/307, 3633/864

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 4242/307, 3633/864?

Answer: GCF of Numerators as per given numbers 4242/307, 3633/864 is

GCF of Numerators i.e. for 4242,3633 is 21

LCM of denominators i.e. for 307,864 is 265248.

Thus, GCF of Fractions is 21/265248.Finally, GCF of Fractions for 4242/307, 3633/864 is 21/265248.