Greatest Common Factor of 393/383, 5633/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 393/383, 5633/935

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 393/383,5633/935

Given fractions are 393/383,5633/935

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 393,5633

Greatest Common Factor of Numerators i.e. GCF of 393,5633 is 131 .

LCM of Denominators means LCM of 383,935 as per the given fractions.

LCM of 383,935 is 358105 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 393,5633

GCF of Fractions 393/383,5633/935 is 131/358105

131 393, 5633
3, 43

∴ So the GCF of the given numbers is 131 = 131

Greatest Common Factor of 393,5633 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,5633 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 5633

List of positive integer factors of 5633 that divides 5633 without a remainder.

1,43,131,5633

Greatest Common Factor

We found the factors 393,5633 . The biggest common factor number is the GCF number.
So the greatest common factor 393,5633 is 131.

Lets's calculate LCM of 383,935

Given numbers has no common factors except 1. So, there LCM is their product i.e 358105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 131/358105

Therefore, the GCF of Fractions 393/383,5633/935 is 131/358105

Least Common Multiple of 383,935 with GCF Formula

Least Common Multiple of 383,935 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 383,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,935) = 1

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

GCF(383,935) x common factors =1 x 1 = 1

LCM(383,935) = ( 383 × 935 ) / 1

LCM(383,935) = 358105 / 1

LCM(383,935) = 358105


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 393/383, 5633/935

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 393/383, 5633/935?

Answer: GCF of Numerators as per given numbers 393/383, 5633/935 is

GCF of Numerators i.e. for 393,5633 is 131

LCM of denominators i.e. for 383,935 is 358105.

Thus, GCF of Fractions is 131/358105.Finally, GCF of Fractions for 393/383, 5633/935 is 131/358105.