Greatest Common Factor of 933/467, 993/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 933/467, 993/103

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 933/467,993/103

Given fractions are 933/467,993/103

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 933,993

Greatest Common Factor of Numerators i.e. GCF of 933,993 is 3 .

LCM of Denominators means LCM of 467,103 as per the given fractions.

LCM of 467,103 is 48101 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 933,993

GCF of Fractions 933/467,993/103 is 3/48101

3 933, 993
311, 331

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

Greatest Common Factor of 933,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,993 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 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 933,993 . The biggest common factor number is the GCF number.
So the greatest common factor 933,993 is 3.

Lets's calculate LCM of 467,103

Given numbers has no common factors except 1. So, there LCM is their product i.e 48101

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/48101

Therefore, the GCF of Fractions 933/467,993/103 is 3/48101

Least Common Multiple of 467,103 with GCF Formula

Least Common Multiple of 467,103 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 467,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,103) = 1

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

GCF(467,103) x common factors =1 x 1 = 1

LCM(467,103) = ( 467 × 103 ) / 1

LCM(467,103) = 48101 / 1

LCM(467,103) = 48101


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 933/467, 993/103

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 933/467, 993/103?

Answer: GCF of Numerators as per given numbers 933/467, 993/103 is

GCF of Numerators i.e. for 933,993 is 3

LCM of denominators i.e. for 467,103 is 48101.

Thus, GCF of Fractions is 3/48101.Finally, GCF of Fractions for 933/467, 993/103 is 3/48101.