Greatest Common Factor of 9354/809, 1533/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9354/809, 1533/364

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 9354/809,1533/364

Given fractions are 9354/809,1533/364

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 9354,1533

Greatest Common Factor of Numerators i.e. GCF of 9354,1533 is 3 .

LCM of Denominators means LCM of 809,364 as per the given fractions.

LCM of 809,364 is 294476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9354,1533

GCF of Fractions 9354/809,1533/364 is 3/294476

3 9354, 1533
3118, 511

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

Greatest Common Factor of 9354,1533 By Matching Biggest Common Factor Method

Greatest Common Factor of 9354,1533 By Matching Biggest Common Factor Method

Factors of 9354

List of positive integer factors of 9354 that divides 9354 without a remainder.

1,2,3,6,1559,3118,4677,9354

Factors of 1533

List of positive integer factors of 1533 that divides 1533 without a remainder.

1,3,7,21,73,219,511,1533

Greatest Common Factor

We found the factors 9354,1533 . The biggest common factor number is the GCF number.
So the greatest common factor 9354,1533 is 3.

Lets's calculate LCM of 809,364

Given numbers has no common factors except 1. So, there LCM is their product i.e 294476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/294476

Therefore, the GCF of Fractions 9354/809,1533/364 is 3/294476

Least Common Multiple of 809,364 with GCF Formula

Least Common Multiple of 809,364 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 809,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,364) = 1

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

GCF(809,364) x common factors =1 x 1 = 1

LCM(809,364) = ( 809 × 364 ) / 1

LCM(809,364) = 294476 / 1

LCM(809,364) = 294476


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 9354/809, 1533/364

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 9354/809, 1533/364?

Answer: GCF of Numerators as per given numbers 9354/809, 1533/364 is

GCF of Numerators i.e. for 9354,1533 is 3

LCM of denominators i.e. for 809,364 is 294476.

Thus, GCF of Fractions is 3/294476.Finally, GCF of Fractions for 9354/809, 1533/364 is 3/294476.