Greatest Common Factor of 17/97, 574/90, 252/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/97, 574/90, 252/327

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 17/97,574/90,252/327

Given fractions are 17/97,574/90,252/327

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 17,574,252

Greatest Common Factor of Numerators i.e. GCF of 17,574,252 is 1 .

LCM of Denominators means LCM of 97,90,327 as per the given fractions.

LCM of 97,90,327 is 951570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,574,252

GCF of Fractions 17/97,574/90,252/327 is 1/951570

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

Greatest Common Factor of 17,574,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,574,252 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 17,574,252 . The biggest common factor number is the GCF number.
So the greatest common factor 17,574,252 is 1.

Lets's calculate LCM of 97,90,327

3 97, 90, 327
97, 30, 109

∴ So the LCM of the given numbers is 3 x 97 x 30 x 109 = 951570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/951570

Therefore, the GCF of Fractions 17/97,574/90,252/327 is 1/951570

Least Common Multiple of 97,90,327 with GCF Formula

Least Common Multiple of 97,90,327 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 97,90,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,90,327) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(97,90,327) x common factors =1 x 3 = 3

LCM(97,90,327) = ( 97 × 90 × 327 ) / 3

LCM(97,90,327) = 2854710 / 3

LCM(97,90,327) = 951570


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 17/97, 574/90, 252/327

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 17/97, 574/90, 252/327?

Answer: GCF of Numerators as per given numbers 17/97, 574/90, 252/327 is

GCF of Numerators i.e. for 17,574,252 is 1

LCM of denominators i.e. for 97,90,327 is 951570.

Thus, GCF of Fractions is 1/951570.Finally, GCF of Fractions for 17/97, 574/90, 252/327 is 1/951570.