Greatest Common Factor of 363/179, 693/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 363/179, 693/652

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 363/179,693/652

Given fractions are 363/179,693/652

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 363,693

Greatest Common Factor of Numerators i.e. GCF of 363,693 is 33 .

LCM of Denominators means LCM of 179,652 as per the given fractions.

LCM of 179,652 is 116708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 363,693

GCF of Fractions 363/179,693/652 is 33/116708

3 363, 693
11 121, 231
11, 21

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 363,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,693 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 363,693 . The biggest common factor number is the GCF number.
So the greatest common factor 363,693 is 33.

Lets's calculate LCM of 179,652

Given numbers has no common factors except 1. So, there LCM is their product i.e 116708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/116708

Therefore, the GCF of Fractions 363/179,693/652 is 33/116708

Least Common Multiple of 179,652 with GCF Formula

Least Common Multiple of 179,652 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 179,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,652) = 1

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

GCF(179,652) x common factors =1 x 1 = 1

LCM(179,652) = ( 179 × 652 ) / 1

LCM(179,652) = 116708 / 1

LCM(179,652) = 116708


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 363/179, 693/652

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 363/179, 693/652?

Answer: GCF of Numerators as per given numbers 363/179, 693/652 is

GCF of Numerators i.e. for 363,693 is 33

LCM of denominators i.e. for 179,652 is 116708.

Thus, GCF of Fractions is 33/116708.Finally, GCF of Fractions for 363/179, 693/652 is 33/116708.