Greatest Common Factor of 408/442, 7230/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 408/442, 7230/364

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 408/442,7230/364

Given fractions are 408/442,7230/364

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 408,7230

Greatest Common Factor of Numerators i.e. GCF of 408,7230 is 6 .

LCM of Denominators means LCM of 442,364 as per the given fractions.

LCM of 442,364 is 6188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 408,7230

GCF of Fractions 408/442,7230/364 is 6/6188

2 408, 7230
3 204, 3615
68, 1205

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

Greatest Common Factor of 408,7230 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,7230 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 7230

List of positive integer factors of 7230 that divides 7230 without a remainder.

1,2,3,5,6,10,15,30,241,482,723,1205,1446,2410,3615,7230

Greatest Common Factor

We found the factors 408,7230 . The biggest common factor number is the GCF number.
So the greatest common factor 408,7230 is 6.

Lets's calculate LCM of 442,364

2 442, 364
13 221, 182
17, 14

∴ So the LCM of the given numbers is 2 x 13 x 17 x 14 = 6188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/6188

Therefore, the GCF of Fractions 408/442,7230/364 is 6/6188

Least Common Multiple of 442,364 with GCF Formula

Least Common Multiple of 442,364 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 442,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,364) = 26

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

GCF(442,364) x common factors =26 x 1 = 26

LCM(442,364) = ( 442 × 364 ) / 26

LCM(442,364) = 160888 / 26

LCM(442,364) = 6188


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 408/442, 7230/364

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 408/442, 7230/364?

Answer: GCF of Numerators as per given numbers 408/442, 7230/364 is

GCF of Numerators i.e. for 408,7230 is 6

LCM of denominators i.e. for 442,364 is 6188.

Thus, GCF of Fractions is 6/6188.Finally, GCF of Fractions for 408/442, 7230/364 is 6/6188.