Greatest Common Factor of 4655/72, 4244/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4655/72, 4244/432

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 4655/72,4244/432

Given fractions are 4655/72,4244/432

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 4655,4244

Greatest Common Factor of Numerators i.e. GCF of 4655,4244 is 1 .

LCM of Denominators means LCM of 72,432 as per the given fractions.

LCM of 72,432 is 432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4655,4244

GCF of Fractions 4655/72,4244/432 is 1/432

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4655,4244 By Matching Biggest Common Factor Method

Greatest Common Factor of 4655,4244 By Matching Biggest Common Factor Method

Factors of 4655

List of positive integer factors of 4655 that divides 4655 without a remainder.

1,5,7,19,35,49,95,133,245,665,931,4655

Factors of 4244

List of positive integer factors of 4244 that divides 4244 without a remainder.

1,2,4,1061,2122,4244

Greatest Common Factor

We found the factors 4655,4244 . The biggest common factor number is the GCF number.
So the greatest common factor 4655,4244 is 1.

Lets's calculate LCM of 72,432

2 72, 432
2 36, 216
2 18, 108
3 9, 54
3 3, 18
1, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 6 = 432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/432

Therefore, the GCF of Fractions 4655/72,4244/432 is 1/432

Least Common Multiple of 72,432 with GCF Formula

Least Common Multiple of 72,432 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 72,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,432) = 72

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

GCF(72,432) x common factors =72 x 1 = 72

LCM(72,432) = ( 72 × 432 ) / 72

LCM(72,432) = 31104 / 72

LCM(72,432) = 432


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 4655/72, 4244/432

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 4655/72, 4244/432?

Answer: GCF of Numerators as per given numbers 4655/72, 4244/432 is

GCF of Numerators i.e. for 4655,4244 is 1

LCM of denominators i.e. for 72,432 is 432.

Thus, GCF of Fractions is 1/432.Finally, GCF of Fractions for 4655/72, 4244/432 is 1/432.