Greatest Common Factor of 2355/41, 7161/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2355/41, 7161/161

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 2355/41,7161/161

Given fractions are 2355/41,7161/161

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 2355,7161

Greatest Common Factor of Numerators i.e. GCF of 2355,7161 is 3 .

LCM of Denominators means LCM of 41,161 as per the given fractions.

LCM of 41,161 is 6601 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2355,7161

GCF of Fractions 2355/41,7161/161 is 3/6601

3 2355, 7161
785, 2387

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

Greatest Common Factor of 2355,7161 By Matching Biggest Common Factor Method

Greatest Common Factor of 2355,7161 By Matching Biggest Common Factor Method

Factors of 2355

List of positive integer factors of 2355 that divides 2355 without a remainder.

1,3,5,15,157,471,785,2355

Factors of 7161

List of positive integer factors of 7161 that divides 7161 without a remainder.

1,3,7,11,21,31,33,77,93,217,231,341,651,1023,2387,7161

Greatest Common Factor

We found the factors 2355,7161 . The biggest common factor number is the GCF number.
So the greatest common factor 2355,7161 is 3.

Lets's calculate LCM of 41,161

Given numbers has no common factors except 1. So, there LCM is their product i.e 6601

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6601

Therefore, the GCF of Fractions 2355/41,7161/161 is 3/6601

Least Common Multiple of 41,161 with GCF Formula

Least Common Multiple of 41,161 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 41,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,161) = 1

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

GCF(41,161) x common factors =1 x 1 = 1

LCM(41,161) = ( 41 × 161 ) / 1

LCM(41,161) = 6601 / 1

LCM(41,161) = 6601


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 2355/41, 7161/161

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 2355/41, 7161/161?

Answer: GCF of Numerators as per given numbers 2355/41, 7161/161 is

GCF of Numerators i.e. for 2355,7161 is 3

LCM of denominators i.e. for 41,161 is 6601.

Thus, GCF of Fractions is 3/6601.Finally, GCF of Fractions for 2355/41, 7161/161 is 3/6601.