Greatest Common Factor of 3024/412, 9368/7224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3024/412, 9368/7224

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 3024/412,9368/7224

Given fractions are 3024/412,9368/7224

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 3024,9368

Greatest Common Factor of Numerators i.e. GCF of 3024,9368 is 8 .

LCM of Denominators means LCM of 412,7224 as per the given fractions.

LCM of 412,7224 is 744072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3024,9368

GCF of Fractions 3024/412,9368/7224 is 8/744072

2 3024, 9368
2 1512, 4684
2 756, 2342
378, 1171

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3024,9368 By Matching Biggest Common Factor Method

Greatest Common Factor of 3024,9368 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 9368

List of positive integer factors of 9368 that divides 9368 without a remainder.

1,2,4,8,1171,2342,4684,9368

Greatest Common Factor

We found the factors 3024,9368 . The biggest common factor number is the GCF number.
So the greatest common factor 3024,9368 is 8.

Lets's calculate LCM of 412,7224

2 412, 7224
2 206, 3612
103, 1806

∴ So the LCM of the given numbers is 2 x 2 x 103 x 1806 = 744072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/744072

Therefore, the GCF of Fractions 3024/412,9368/7224 is 8/744072

Least Common Multiple of 412,7224 with GCF Formula

Least Common Multiple of 412,7224 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 412,7224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,7224) = 4

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

GCF(412,7224) x common factors =4 x 1 = 4

LCM(412,7224) = ( 412 × 7224 ) / 4

LCM(412,7224) = 2976288 / 4

LCM(412,7224) = 744072


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 3024/412, 9368/7224

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 3024/412, 9368/7224?

Answer: GCF of Numerators as per given numbers 3024/412, 9368/7224 is

GCF of Numerators i.e. for 3024,9368 is 8

LCM of denominators i.e. for 412,7224 is 744072.

Thus, GCF of Fractions is 8/744072.Finally, GCF of Fractions for 3024/412, 9368/7224 is 8/744072.