Greatest Common Factor of 171/351, 527/644, 194/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 171/351, 527/644, 194/609

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 171/351,527/644,194/609

Given fractions are 171/351,527/644,194/609

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 171,527,194

Greatest Common Factor of Numerators i.e. GCF of 171,527,194 is 1 .

LCM of Denominators means LCM of 351,644,609 as per the given fractions.

LCM of 351,644,609 is 6555276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 171,527,194

GCF of Fractions 171/351,527/644,194/609 is 1/6555276

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

Greatest Common Factor of 171,527,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,527,194 By Matching Biggest Common Factor Method

Factors of 171

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

1,3,9,19,57,171

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 171,527,194 . The biggest common factor number is the GCF number.
So the greatest common factor 171,527,194 is 1.

Lets's calculate LCM of 351,644,609

3 351, 644, 609
7 117, 644, 203
117, 92, 29

∴ So the LCM of the given numbers is 3 x 7 x 117 x 92 x 29 = 6555276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6555276

Therefore, the GCF of Fractions 171/351,527/644,194/609 is 1/6555276

Least Common Multiple of 351,644,609 with GCF Formula

Least Common Multiple of 351,644,609 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 351,644,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,644,609) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(351,644,609) x common factors =1 x 21 = 21

LCM(351,644,609) = ( 351 × 644 × 609 ) / 21

LCM(351,644,609) = 137660796 / 21

LCM(351,644,609) = 6555276


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 171/351, 527/644, 194/609

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 171/351, 527/644, 194/609?

Answer: GCF of Numerators as per given numbers 171/351, 527/644, 194/609 is

GCF of Numerators i.e. for 171,527,194 is 1

LCM of denominators i.e. for 351,644,609 is 6555276.

Thus, GCF of Fractions is 1/6555276.Finally, GCF of Fractions for 171/351, 527/644, 194/609 is 1/6555276.