Greatest Common Factor of 3421/374, 8102/2177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3421/374, 8102/2177

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 3421/374,8102/2177

Given fractions are 3421/374,8102/2177

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 3421,8102

Greatest Common Factor of Numerators i.e. GCF of 3421,8102 is 1 .

LCM of Denominators means LCM of 374,2177 as per the given fractions.

LCM of 374,2177 is 814198 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3421,8102

GCF of Fractions 3421/374,8102/2177 is 1/814198

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3421,8102 By Matching Biggest Common Factor Method

Greatest Common Factor of 3421,8102 By Matching Biggest Common Factor Method

Factors of 3421

List of positive integer factors of 3421 that divides 3421 without a remainder.

1,11,311,3421

Factors of 8102

List of positive integer factors of 8102 that divides 8102 without a remainder.

1,2,4051,8102

Greatest Common Factor

We found the factors 3421,8102 . The biggest common factor number is the GCF number.
So the greatest common factor 3421,8102 is 1.

Lets's calculate LCM of 374,2177

Given numbers has no common factors except 1. So, there LCM is their product i.e 814198

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/814198

Therefore, the GCF of Fractions 3421/374,8102/2177 is 1/814198

Least Common Multiple of 374,2177 with GCF Formula

Least Common Multiple of 374,2177 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 374,2177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,2177) = 1

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

GCF(374,2177) x common factors =1 x 1 = 1

LCM(374,2177) = ( 374 × 2177 ) / 1

LCM(374,2177) = 814198 / 1

LCM(374,2177) = 814198


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 3421/374, 8102/2177

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 3421/374, 8102/2177?

Answer: GCF of Numerators as per given numbers 3421/374, 8102/2177 is

GCF of Numerators i.e. for 3421,8102 is 1

LCM of denominators i.e. for 374,2177 is 814198.

Thus, GCF of Fractions is 1/814198.Finally, GCF of Fractions for 3421/374, 8102/2177 is 1/814198.