Greatest Common Factor of 3958/732, 4033/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3958/732, 4033/768

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 3958/732,4033/768

Given fractions are 3958/732,4033/768

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 3958,4033

Greatest Common Factor of Numerators i.e. GCF of 3958,4033 is 1 .

LCM of Denominators means LCM of 732,768 as per the given fractions.

LCM of 732,768 is 46848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3958,4033

GCF of Fractions 3958/732,4033/768 is 1/46848

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

Greatest Common Factor of 3958,4033 By Matching Biggest Common Factor Method

Greatest Common Factor of 3958,4033 By Matching Biggest Common Factor Method

Factors of 3958

List of positive integer factors of 3958 that divides 3958 without a remainder.

1,2,1979,3958

Factors of 4033

List of positive integer factors of 4033 that divides 4033 without a remainder.

1,37,109,4033

Greatest Common Factor

We found the factors 3958,4033 . The biggest common factor number is the GCF number.
So the greatest common factor 3958,4033 is 1.

Lets's calculate LCM of 732,768

2 732, 768
2 366, 384
3 183, 192
61, 64

∴ So the LCM of the given numbers is 2 x 2 x 3 x 61 x 64 = 46848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46848

Therefore, the GCF of Fractions 3958/732,4033/768 is 1/46848

Least Common Multiple of 732,768 with GCF Formula

Least Common Multiple of 732,768 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 732,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,768) = 12

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

GCF(732,768) x common factors =12 x 1 = 12

LCM(732,768) = ( 732 × 768 ) / 12

LCM(732,768) = 562176 / 12

LCM(732,768) = 46848


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 3958/732, 4033/768

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 3958/732, 4033/768?

Answer: GCF of Numerators as per given numbers 3958/732, 4033/768 is

GCF of Numerators i.e. for 3958,4033 is 1

LCM of denominators i.e. for 732,768 is 46848.

Thus, GCF of Fractions is 1/46848.Finally, GCF of Fractions for 3958/732, 4033/768 is 1/46848.