Greatest Common Factor of 9336/200, 7401/1065

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9336/200, 7401/1065

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 9336/200,7401/1065

Given fractions are 9336/200,7401/1065

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 9336,7401

Greatest Common Factor of Numerators i.e. GCF of 9336,7401 is 3 .

LCM of Denominators means LCM of 200,1065 as per the given fractions.

LCM of 200,1065 is 42600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9336,7401

GCF of Fractions 9336/200,7401/1065 is 3/42600

3 9336, 7401
3112, 2467

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

Greatest Common Factor of 9336,7401 By Matching Biggest Common Factor Method

Greatest Common Factor of 9336,7401 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 7401

List of positive integer factors of 7401 that divides 7401 without a remainder.

1,3,2467,7401

Greatest Common Factor

We found the factors 9336,7401 . The biggest common factor number is the GCF number.
So the greatest common factor 9336,7401 is 3.

Lets's calculate LCM of 200,1065

5 200, 1065
40, 213

∴ So the LCM of the given numbers is 5 x 40 x 213 = 42600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/42600

Therefore, the GCF of Fractions 9336/200,7401/1065 is 3/42600

Least Common Multiple of 200,1065 with GCF Formula

Least Common Multiple of 200,1065 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 200,1065 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,1065) = 5

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

GCF(200,1065) x common factors =5 x 1 = 5

LCM(200,1065) = ( 200 × 1065 ) / 5

LCM(200,1065) = 213000 / 5

LCM(200,1065) = 42600


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 9336/200, 7401/1065

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 9336/200, 7401/1065?

Answer: GCF of Numerators as per given numbers 9336/200, 7401/1065 is

GCF of Numerators i.e. for 9336,7401 is 3

LCM of denominators i.e. for 200,1065 is 42600.

Thus, GCF of Fractions is 3/42600.Finally, GCF of Fractions for 9336/200, 7401/1065 is 3/42600.