Greatest Common Factor of 933/143, 174/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 933/143, 174/531

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 933/143,174/531

Given fractions are 933/143,174/531

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 933,174

Greatest Common Factor of Numerators i.e. GCF of 933,174 is 3 .

LCM of Denominators means LCM of 143,531 as per the given fractions.

LCM of 143,531 is 75933 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 933,174

GCF of Fractions 933/143,174/531 is 3/75933

3 933, 174
311, 58

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

Greatest Common Factor of 933,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,174 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 933,174 . The biggest common factor number is the GCF number.
So the greatest common factor 933,174 is 3.

Lets's calculate LCM of 143,531

Given numbers has no common factors except 1. So, there LCM is their product i.e 75933

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/75933

Therefore, the GCF of Fractions 933/143,174/531 is 3/75933

Least Common Multiple of 143,531 with GCF Formula

Least Common Multiple of 143,531 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 143,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,531) = 1

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

GCF(143,531) x common factors =1 x 1 = 1

LCM(143,531) = ( 143 × 531 ) / 1

LCM(143,531) = 75933 / 1

LCM(143,531) = 75933


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 933/143, 174/531

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 933/143, 174/531?

Answer: GCF of Numerators as per given numbers 933/143, 174/531 is

GCF of Numerators i.e. for 933,174 is 3

LCM of denominators i.e. for 143,531 is 75933.

Thus, GCF of Fractions is 3/75933.Finally, GCF of Fractions for 933/143, 174/531 is 3/75933.