Greatest Common Factor of 3024/72, 8989/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3024/72, 8989/103

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 3024/72,8989/103

Given fractions are 3024/72,8989/103

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 3024,8989

Greatest Common Factor of Numerators i.e. GCF of 3024,8989 is 1 .

LCM of Denominators means LCM of 72,103 as per the given fractions.

LCM of 72,103 is 7416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3024,8989

GCF of Fractions 3024/72,8989/103 is 1/7416

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

Greatest Common Factor of 3024,8989 By Matching Biggest Common Factor Method

Greatest Common Factor of 3024,8989 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 8989

List of positive integer factors of 8989 that divides 8989 without a remainder.

1,89,101,8989

Greatest Common Factor

We found the factors 3024,8989 . The biggest common factor number is the GCF number.
So the greatest common factor 3024,8989 is 1.

Lets's calculate LCM of 72,103

Given numbers has no common factors except 1. So, there LCM is their product i.e 7416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7416

Therefore, the GCF of Fractions 3024/72,8989/103 is 1/7416

Least Common Multiple of 72,103 with GCF Formula

Least Common Multiple of 72,103 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 72,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,103) = 1

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

GCF(72,103) x common factors =1 x 1 = 1

LCM(72,103) = ( 72 × 103 ) / 1

LCM(72,103) = 7416 / 1

LCM(72,103) = 7416


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 3024/72, 8989/103

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 3024/72, 8989/103?

Answer: GCF of Numerators as per given numbers 3024/72, 8989/103 is

GCF of Numerators i.e. for 3024,8989 is 1

LCM of denominators i.e. for 72,103 is 7416.

Thus, GCF of Fractions is 1/7416.Finally, GCF of Fractions for 3024/72, 8989/103 is 1/7416.