Greatest Common Factor of 6205/198, 3473/3371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6205/198, 3473/3371

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 6205/198,3473/3371

Given fractions are 6205/198,3473/3371

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 6205,3473

Greatest Common Factor of Numerators i.e. GCF of 6205,3473 is 1 .

LCM of Denominators means LCM of 198,3371 as per the given fractions.

LCM of 198,3371 is 667458 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6205,3473

GCF of Fractions 6205/198,3473/3371 is 1/667458

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

Greatest Common Factor of 6205,3473 By Matching Biggest Common Factor Method

Greatest Common Factor of 6205,3473 By Matching Biggest Common Factor Method

Factors of 6205

List of positive integer factors of 6205 that divides 6205 without a remainder.

1,5,17,73,85,365,1241,6205

Factors of 3473

List of positive integer factors of 3473 that divides 3473 without a remainder.

1,23,151,3473

Greatest Common Factor

We found the factors 6205,3473 . The biggest common factor number is the GCF number.
So the greatest common factor 6205,3473 is 1.

Lets's calculate LCM of 198,3371

Given numbers has no common factors except 1. So, there LCM is their product i.e 667458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/667458

Therefore, the GCF of Fractions 6205/198,3473/3371 is 1/667458

Least Common Multiple of 198,3371 with GCF Formula

Least Common Multiple of 198,3371 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 198,3371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,3371) = 1

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

GCF(198,3371) x common factors =1 x 1 = 1

LCM(198,3371) = ( 198 × 3371 ) / 1

LCM(198,3371) = 667458 / 1

LCM(198,3371) = 667458


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 6205/198, 3473/3371

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 6205/198, 3473/3371?

Answer: GCF of Numerators as per given numbers 6205/198, 3473/3371 is

GCF of Numerators i.e. for 6205,3473 is 1

LCM of denominators i.e. for 198,3371 is 667458.

Thus, GCF of Fractions is 1/667458.Finally, GCF of Fractions for 6205/198, 3473/3371 is 1/667458.