Greatest Common Factor of 9336/258, 3621/2790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9336/258, 3621/2790

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 9336/258,3621/2790

Given fractions are 9336/258,3621/2790

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 9336,3621

Greatest Common Factor of Numerators i.e. GCF of 9336,3621 is 3 .

LCM of Denominators means LCM of 258,2790 as per the given fractions.

LCM of 258,2790 is 119970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9336,3621

GCF of Fractions 9336/258,3621/2790 is 3/119970

3 9336, 3621
3112, 1207

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9336,3621 By Matching Biggest Common Factor Method

Greatest Common Factor of 9336,3621 By Matching Biggest Common Factor Method

Factors of 9336

List of positive integer factors of 9336 that divides 9336 without a remainder.

1,2,3,4,6,8,12,24,389,778,1167,1556,2334,3112,4668,9336

Factors of 3621

List of positive integer factors of 3621 that divides 3621 without a remainder.

1,3,17,51,71,213,1207,3621

Greatest Common Factor

We found the factors 9336,3621 . The biggest common factor number is the GCF number.
So the greatest common factor 9336,3621 is 3.

Lets's calculate LCM of 258,2790

2 258, 2790
3 129, 1395
43, 465

∴ So the LCM of the given numbers is 2 x 3 x 43 x 465 = 119970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/119970

Therefore, the GCF of Fractions 9336/258,3621/2790 is 3/119970

Least Common Multiple of 258,2790 with GCF Formula

Least Common Multiple of 258,2790 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 258,2790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,2790) = 6

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

GCF(258,2790) x common factors =6 x 1 = 6

LCM(258,2790) = ( 258 × 2790 ) / 6

LCM(258,2790) = 719820 / 6

LCM(258,2790) = 119970


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 9336/258, 3621/2790

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 9336/258, 3621/2790?

Answer: GCF of Numerators as per given numbers 9336/258, 3621/2790 is

GCF of Numerators i.e. for 9336,3621 is 3

LCM of denominators i.e. for 258,2790 is 119970.

Thus, GCF of Fractions is 3/119970.Finally, GCF of Fractions for 9336/258, 3621/2790 is 3/119970.