Greatest Common Factor of 933/36, 283/81, 157/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 933/36, 283/81, 157/705

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 933/36,283/81,157/705

Given fractions are 933/36,283/81,157/705

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 933,283,157

Greatest Common Factor of Numerators i.e. GCF of 933,283,157 is 1 .

LCM of Denominators means LCM of 36,81,705 as per the given fractions.

LCM of 36,81,705 is 76140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 933,283,157

GCF of Fractions 933/36,283/81,157/705 is 1/76140

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

Greatest Common Factor of 933,283,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,283,157 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 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 933,283,157 . The biggest common factor number is the GCF number.
So the greatest common factor 933,283,157 is 1.

Lets's calculate LCM of 36,81,705

3 36, 81, 705
3 12, 27, 235
4, 9, 235

∴ So the LCM of the given numbers is 3 x 3 x 4 x 9 x 235 = 76140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76140

Therefore, the GCF of Fractions 933/36,283/81,157/705 is 1/76140

Least Common Multiple of 36,81,705 with GCF Formula

Least Common Multiple of 36,81,705 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 36,81,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,81,705) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(36,81,705) x common factors =3 x 9 = 27

LCM(36,81,705) = ( 36 × 81 × 705 ) / 27

LCM(36,81,705) = 2055780 / 27

LCM(36,81,705) = 76140


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 933/36, 283/81, 157/705

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 933/36, 283/81, 157/705?

Answer: GCF of Numerators as per given numbers 933/36, 283/81, 157/705 is

GCF of Numerators i.e. for 933,283,157 is 1

LCM of denominators i.e. for 36,81,705 is 76140.

Thus, GCF of Fractions is 1/76140.Finally, GCF of Fractions for 933/36, 283/81, 157/705 is 1/76140.