Greatest Common Factor of 9342/359, 6530/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9342/359, 6530/903

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 9342/359,6530/903

Given fractions are 9342/359,6530/903

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 9342,6530

Greatest Common Factor of Numerators i.e. GCF of 9342,6530 is 2 .

LCM of Denominators means LCM of 359,903 as per the given fractions.

LCM of 359,903 is 324177 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9342,6530

GCF of Fractions 9342/359,6530/903 is 2/324177

2 9342, 6530
4671, 3265

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9342,6530 By Matching Biggest Common Factor Method

Greatest Common Factor of 9342,6530 By Matching Biggest Common Factor Method

Factors of 9342

List of positive integer factors of 9342 that divides 9342 without a remainder.

1,2,3,6,9,18,27,54,173,346,519,1038,1557,3114,4671,9342

Factors of 6530

List of positive integer factors of 6530 that divides 6530 without a remainder.

1,2,5,10,653,1306,3265,6530

Greatest Common Factor

We found the factors 9342,6530 . The biggest common factor number is the GCF number.
So the greatest common factor 9342,6530 is 2.

Lets's calculate LCM of 359,903

Given numbers has no common factors except 1. So, there LCM is their product i.e 324177

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/324177

Therefore, the GCF of Fractions 9342/359,6530/903 is 2/324177

Least Common Multiple of 359,903 with GCF Formula

Least Common Multiple of 359,903 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 359,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,903) = 1

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

GCF(359,903) x common factors =1 x 1 = 1

LCM(359,903) = ( 359 × 903 ) / 1

LCM(359,903) = 324177 / 1

LCM(359,903) = 324177


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 9342/359, 6530/903

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 9342/359, 6530/903?

Answer: GCF of Numerators as per given numbers 9342/359, 6530/903 is

GCF of Numerators i.e. for 9342,6530 is 2

LCM of denominators i.e. for 359,903 is 324177.

Thus, GCF of Fractions is 2/324177.Finally, GCF of Fractions for 9342/359, 6530/903 is 2/324177.