Greatest Common Factor of 663/17, 588/55, 732/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 663/17, 588/55, 732/669

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 663/17,588/55,732/669

Given fractions are 663/17,588/55,732/669

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 663,588,732

Greatest Common Factor of Numerators i.e. GCF of 663,588,732 is 3 .

LCM of Denominators means LCM of 17,55,669 as per the given fractions.

LCM of 17,55,669 is 625515 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 663,588,732

GCF of Fractions 663/17,588/55,732/669 is 3/625515

3 663, 588, 732
221, 196, 244

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

Greatest Common Factor of 663,588,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,588,732 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 663,588,732 . The biggest common factor number is the GCF number.
So the greatest common factor 663,588,732 is 3.

Lets's calculate LCM of 17,55,669

Given numbers has no common factors except 1. So, there LCM is their product i.e 625515

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/625515

Therefore, the GCF of Fractions 663/17,588/55,732/669 is 3/625515

Least Common Multiple of 17,55,669 with GCF Formula

Least Common Multiple of 17,55,669 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 17,55,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,55,669) = 1

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

GCF(17,55,669) x common factors =1 x 1 = 1

LCM(17,55,669) = ( 17 × 55 × 669 ) / 1

LCM(17,55,669) = 625515 / 1

LCM(17,55,669) = 625515


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 663/17, 588/55, 732/669

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 663/17, 588/55, 732/669?

Answer: GCF of Numerators as per given numbers 663/17, 588/55, 732/669 is

GCF of Numerators i.e. for 663,588,732 is 3

LCM of denominators i.e. for 17,55,669 is 625515.

Thus, GCF of Fractions is 3/625515.Finally, GCF of Fractions for 663/17, 588/55, 732/669 is 3/625515.