Greatest Common Factor of 60/732, 3845/9728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/732, 3845/9728

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 60/732,3845/9728

Given fractions are 60/732,3845/9728

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 60,3845

Greatest Common Factor of Numerators i.e. GCF of 60,3845 is 5 .

LCM of Denominators means LCM of 732,9728 as per the given fractions.

LCM of 732,9728 is 1780224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,3845

GCF of Fractions 60/732,3845/9728 is 5/1780224

5 60, 3845
12, 769

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 60,3845 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,3845 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 3845

List of positive integer factors of 3845 that divides 3845 without a remainder.

1,5,769,3845

Greatest Common Factor

We found the factors 60,3845 . The biggest common factor number is the GCF number.
So the greatest common factor 60,3845 is 5.

Lets's calculate LCM of 732,9728

2 732, 9728
2 366, 4864
183, 2432

∴ So the LCM of the given numbers is 2 x 2 x 183 x 2432 = 1780224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1780224

Therefore, the GCF of Fractions 60/732,3845/9728 is 5/1780224

Least Common Multiple of 732,9728 with GCF Formula

Least Common Multiple of 732,9728 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 732,9728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,9728) = 4

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

GCF(732,9728) x common factors =4 x 1 = 4

LCM(732,9728) = ( 732 × 9728 ) / 4

LCM(732,9728) = 7120896 / 4

LCM(732,9728) = 1780224


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 60/732, 3845/9728

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 60/732, 3845/9728?

Answer: GCF of Numerators as per given numbers 60/732, 3845/9728 is

GCF of Numerators i.e. for 60,3845 is 5

LCM of denominators i.e. for 732,9728 is 1780224.

Thus, GCF of Fractions is 5/1780224.Finally, GCF of Fractions for 60/732, 3845/9728 is 5/1780224.