Greatest Common Factor of 9606/96, 3681/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9606/96, 3681/355

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 9606/96,3681/355

Given fractions are 9606/96,3681/355

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 9606,3681

Greatest Common Factor of Numerators i.e. GCF of 9606,3681 is 3 .

LCM of Denominators means LCM of 96,355 as per the given fractions.

LCM of 96,355 is 34080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9606,3681

GCF of Fractions 9606/96,3681/355 is 3/34080

3 9606, 3681
3202, 1227

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

Greatest Common Factor of 9606,3681 By Matching Biggest Common Factor Method

Greatest Common Factor of 9606,3681 By Matching Biggest Common Factor Method

Factors of 9606

List of positive integer factors of 9606 that divides 9606 without a remainder.

1,2,3,6,1601,3202,4803,9606

Factors of 3681

List of positive integer factors of 3681 that divides 3681 without a remainder.

1,3,9,409,1227,3681

Greatest Common Factor

We found the factors 9606,3681 . The biggest common factor number is the GCF number.
So the greatest common factor 9606,3681 is 3.

Lets's calculate LCM of 96,355

Given numbers has no common factors except 1. So, there LCM is their product i.e 34080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34080

Therefore, the GCF of Fractions 9606/96,3681/355 is 3/34080

Least Common Multiple of 96,355 with GCF Formula

Least Common Multiple of 96,355 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 96,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,355) = 1

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

GCF(96,355) x common factors =1 x 1 = 1

LCM(96,355) = ( 96 × 355 ) / 1

LCM(96,355) = 34080 / 1

LCM(96,355) = 34080


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 9606/96, 3681/355

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 9606/96, 3681/355?

Answer: GCF of Numerators as per given numbers 9606/96, 3681/355 is

GCF of Numerators i.e. for 9606,3681 is 3

LCM of denominators i.e. for 96,355 is 34080.

Thus, GCF of Fractions is 3/34080.Finally, GCF of Fractions for 9606/96, 3681/355 is 3/34080.