Greatest Common Factor of 245/747, 206/272, 171/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 245/747, 206/272, 171/328

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 245/747,206/272,171/328

Given fractions are 245/747,206/272,171/328

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 245,206,171

Greatest Common Factor of Numerators i.e. GCF of 245,206,171 is 1 .

LCM of Denominators means LCM of 747,272,328 as per the given fractions.

LCM of 747,272,328 is 8330544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 245,206,171

GCF of Fractions 245/747,206/272,171/328 is 1/8330544

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

Greatest Common Factor of 245,206,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,206,171 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 245,206,171 . The biggest common factor number is the GCF number.
So the greatest common factor 245,206,171 is 1.

Lets's calculate LCM of 747,272,328

2 747, 272, 328
2 747, 136, 164
2 747, 68, 82
747, 34, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 747 x 34 x 41 = 8330544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8330544

Therefore, the GCF of Fractions 245/747,206/272,171/328 is 1/8330544

Least Common Multiple of 747,272,328 with GCF Formula

Least Common Multiple of 747,272,328 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 747,272,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,272,328) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(747,272,328) x common factors =1 x 8 = 8

LCM(747,272,328) = ( 747 × 272 × 328 ) / 8

LCM(747,272,328) = 66644352 / 8

LCM(747,272,328) = 8330544


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 245/747, 206/272, 171/328

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 245/747, 206/272, 171/328?

Answer: GCF of Numerators as per given numbers 245/747, 206/272, 171/328 is

GCF of Numerators i.e. for 245,206,171 is 1

LCM of denominators i.e. for 747,272,328 is 8330544.

Thus, GCF of Fractions is 1/8330544.Finally, GCF of Fractions for 245/747, 206/272, 171/328 is 1/8330544.