Greatest Common Factor of 3024/404, 9161/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3024/404, 9161/752

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 3024/404,9161/752

Given fractions are 3024/404,9161/752

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 3024,9161

Greatest Common Factor of Numerators i.e. GCF of 3024,9161 is 1 .

LCM of Denominators means LCM of 404,752 as per the given fractions.

LCM of 404,752 is 75952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3024,9161

GCF of Fractions 3024/404,9161/752 is 1/75952

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

Greatest Common Factor of 3024,9161 By Matching Biggest Common Factor Method

Greatest Common Factor of 3024,9161 By Matching Biggest Common Factor Method

Factors of 3024

List of positive integer factors of 3024 that divides 3024 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,84,108,112,126,144,168,189,216,252,336,378,432,504,756,1008,1512,3024

Factors of 9161

List of positive integer factors of 9161 that divides 9161 without a remainder.

1,9161

Greatest Common Factor

We found the factors 3024,9161 . The biggest common factor number is the GCF number.
So the greatest common factor 3024,9161 is 1.

Lets's calculate LCM of 404,752

2 404, 752
2 202, 376
101, 188

∴ So the LCM of the given numbers is 2 x 2 x 101 x 188 = 75952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75952

Therefore, the GCF of Fractions 3024/404,9161/752 is 1/75952

Least Common Multiple of 404,752 with GCF Formula

Least Common Multiple of 404,752 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 404,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,752) = 4

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

GCF(404,752) x common factors =4 x 1 = 4

LCM(404,752) = ( 404 × 752 ) / 4

LCM(404,752) = 303808 / 4

LCM(404,752) = 75952


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 3024/404, 9161/752

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 3024/404, 9161/752?

Answer: GCF of Numerators as per given numbers 3024/404, 9161/752 is

GCF of Numerators i.e. for 3024,9161 is 1

LCM of denominators i.e. for 404,752 is 75952.

Thus, GCF of Fractions is 1/75952.Finally, GCF of Fractions for 3024/404, 9161/752 is 1/75952.