Greatest Common Factor of 957/512, 594/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 957/512, 594/483

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 957/512,594/483

Given fractions are 957/512,594/483

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 957,594

Greatest Common Factor of Numerators i.e. GCF of 957,594 is 33 .

LCM of Denominators means LCM of 512,483 as per the given fractions.

LCM of 512,483 is 247296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 957,594

GCF of Fractions 957/512,594/483 is 33/247296

3 957, 594
11 319, 198
29, 18

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

Greatest Common Factor of 957,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,594 By Matching Biggest Common Factor Method

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 957,594 . The biggest common factor number is the GCF number.
So the greatest common factor 957,594 is 33.

Lets's calculate LCM of 512,483

Given numbers has no common factors except 1. So, there LCM is their product i.e 247296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/247296

Therefore, the GCF of Fractions 957/512,594/483 is 33/247296

Least Common Multiple of 512,483 with GCF Formula

Least Common Multiple of 512,483 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 512,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,483) = 1

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

GCF(512,483) x common factors =1 x 1 = 1

LCM(512,483) = ( 512 × 483 ) / 1

LCM(512,483) = 247296 / 1

LCM(512,483) = 247296


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 957/512, 594/483

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 957/512, 594/483?

Answer: GCF of Numerators as per given numbers 957/512, 594/483 is

GCF of Numerators i.e. for 957,594 is 33

LCM of denominators i.e. for 512,483 is 247296.

Thus, GCF of Fractions is 33/247296.Finally, GCF of Fractions for 957/512, 594/483 is 33/247296.