Greatest Common Factor of 208/189, 6171/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 208/189, 6171/671

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 208/189,6171/671

Given fractions are 208/189,6171/671

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 208,6171

Greatest Common Factor of Numerators i.e. GCF of 208,6171 is 1 .

LCM of Denominators means LCM of 189,671 as per the given fractions.

LCM of 189,671 is 126819 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 208,6171

GCF of Fractions 208/189,6171/671 is 1/126819

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

Greatest Common Factor of 208,6171 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,6171 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 6171

List of positive integer factors of 6171 that divides 6171 without a remainder.

1,3,11,17,33,51,121,187,363,561,2057,6171

Greatest Common Factor

We found the factors 208,6171 . The biggest common factor number is the GCF number.
So the greatest common factor 208,6171 is 1.

Lets's calculate LCM of 189,671

Given numbers has no common factors except 1. So, there LCM is their product i.e 126819

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126819

Therefore, the GCF of Fractions 208/189,6171/671 is 1/126819

Least Common Multiple of 189,671 with GCF Formula

Least Common Multiple of 189,671 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 189,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,671) = 1

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

GCF(189,671) x common factors =1 x 1 = 1

LCM(189,671) = ( 189 × 671 ) / 1

LCM(189,671) = 126819 / 1

LCM(189,671) = 126819


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 208/189, 6171/671

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 208/189, 6171/671?

Answer: GCF of Numerators as per given numbers 208/189, 6171/671 is

GCF of Numerators i.e. for 208,6171 is 1

LCM of denominators i.e. for 189,671 is 126819.

Thus, GCF of Fractions is 1/126819.Finally, GCF of Fractions for 208/189, 6171/671 is 1/126819.