Greatest Common Factor of 906/687, 198/962, 177/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 906/687, 198/962, 177/289

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 906/687,198/962,177/289

Given fractions are 906/687,198/962,177/289

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 906,198,177

Greatest Common Factor of Numerators i.e. GCF of 906,198,177 is 3 .

LCM of Denominators means LCM of 687,962,289 as per the given fractions.

LCM of 687,962,289 is 190998366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 906,198,177

GCF of Fractions 906/687,198/962,177/289 is 3/190998366

3 906, 198, 177
302, 66, 59

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

Greatest Common Factor of 906,198,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,198,177 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 906,198,177 . The biggest common factor number is the GCF number.
So the greatest common factor 906,198,177 is 3.

Lets's calculate LCM of 687,962,289

Given numbers has no common factors except 1. So, there LCM is their product i.e 190998366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/190998366

Therefore, the GCF of Fractions 906/687,198/962,177/289 is 3/190998366

Least Common Multiple of 687,962,289 with GCF Formula

Least Common Multiple of 687,962,289 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 687,962,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,962,289) = 1

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

GCF(687,962,289) x common factors =1 x 1 = 1

LCM(687,962,289) = ( 687 × 962 × 289 ) / 1

LCM(687,962,289) = 190998366 / 1

LCM(687,962,289) = 190998366


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 906/687, 198/962, 177/289

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 906/687, 198/962, 177/289?

Answer: GCF of Numerators as per given numbers 906/687, 198/962, 177/289 is

GCF of Numerators i.e. for 906,198,177 is 3

LCM of denominators i.e. for 687,962,289 is 190998366.

Thus, GCF of Fractions is 3/190998366.Finally, GCF of Fractions for 906/687, 198/962, 177/289 is 3/190998366.