Greatest Common Factor of 9606/68, 2170/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9606/68, 2170/185

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 9606/68,2170/185

Given fractions are 9606/68,2170/185

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 9606,2170

Greatest Common Factor of Numerators i.e. GCF of 9606,2170 is 2 .

LCM of Denominators means LCM of 68,185 as per the given fractions.

LCM of 68,185 is 12580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9606,2170

GCF of Fractions 9606/68,2170/185 is 2/12580

2 9606, 2170
4803, 1085

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

Greatest Common Factor of 9606,2170 By Matching Biggest Common Factor Method

Greatest Common Factor of 9606,2170 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 2170

List of positive integer factors of 2170 that divides 2170 without a remainder.

1,2,5,7,10,14,31,35,62,70,155,217,310,434,1085,2170

Greatest Common Factor

We found the factors 9606,2170 . The biggest common factor number is the GCF number.
So the greatest common factor 9606,2170 is 2.

Lets's calculate LCM of 68,185

Given numbers has no common factors except 1. So, there LCM is their product i.e 12580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12580

Therefore, the GCF of Fractions 9606/68,2170/185 is 2/12580

Least Common Multiple of 68,185 with GCF Formula

Least Common Multiple of 68,185 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 68,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,185) = 1

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

GCF(68,185) x common factors =1 x 1 = 1

LCM(68,185) = ( 68 × 185 ) / 1

LCM(68,185) = 12580 / 1

LCM(68,185) = 12580


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 9606/68, 2170/185

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 9606/68, 2170/185?

Answer: GCF of Numerators as per given numbers 9606/68, 2170/185 is

GCF of Numerators i.e. for 9606,2170 is 2

LCM of denominators i.e. for 68,185 is 12580.

Thus, GCF of Fractions is 2/12580.Finally, GCF of Fractions for 9606/68, 2170/185 is 2/12580.