Greatest Common Factor of 7224/481, 3606/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7224/481, 3606/920

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 7224/481,3606/920

Given fractions are 7224/481,3606/920

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 7224,3606

Greatest Common Factor of Numerators i.e. GCF of 7224,3606 is 6 .

LCM of Denominators means LCM of 481,920 as per the given fractions.

LCM of 481,920 is 442520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7224,3606

GCF of Fractions 7224/481,3606/920 is 6/442520

2 7224, 3606
3 3612, 1803
1204, 601

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7224,3606 By Matching Biggest Common Factor Method

Greatest Common Factor of 7224,3606 By Matching Biggest Common Factor Method

Factors of 7224

List of positive integer factors of 7224 that divides 7224 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,43,56,84,86,129,168,172,258,301,344,516,602,903,1032,1204,1806,2408,3612,7224

Factors of 3606

List of positive integer factors of 3606 that divides 3606 without a remainder.

1,2,3,6,601,1202,1803,3606

Greatest Common Factor

We found the factors 7224,3606 . The biggest common factor number is the GCF number.
So the greatest common factor 7224,3606 is 6.

Lets's calculate LCM of 481,920

Given numbers has no common factors except 1. So, there LCM is their product i.e 442520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/442520

Therefore, the GCF of Fractions 7224/481,3606/920 is 6/442520

Least Common Multiple of 481,920 with GCF Formula

Least Common Multiple of 481,920 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 481,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,920) = 1

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

GCF(481,920) x common factors =1 x 1 = 1

LCM(481,920) = ( 481 × 920 ) / 1

LCM(481,920) = 442520 / 1

LCM(481,920) = 442520


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 7224/481, 3606/920

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 7224/481, 3606/920?

Answer: GCF of Numerators as per given numbers 7224/481, 3606/920 is

GCF of Numerators i.e. for 7224,3606 is 6

LCM of denominators i.e. for 481,920 is 442520.

Thus, GCF of Fractions is 6/442520.Finally, GCF of Fractions for 7224/481, 3606/920 is 6/442520.