Greatest Common Factor of 952/39, 993/35, 566/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 952/39, 993/35, 566/189

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 952/39,993/35,566/189

Given fractions are 952/39,993/35,566/189

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 952,993,566

Greatest Common Factor of Numerators i.e. GCF of 952,993,566 is 1 .

LCM of Denominators means LCM of 39,35,189 as per the given fractions.

LCM of 39,35,189 is 12285 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 952,993,566

GCF of Fractions 952/39,993/35,566/189 is 1/12285

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

Greatest Common Factor of 952,993,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,993,566 By Matching Biggest Common Factor Method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 993

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

1,3,331,993

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 952,993,566 . The biggest common factor number is the GCF number.
So the greatest common factor 952,993,566 is 1.

Lets's calculate LCM of 39,35,189

3 39, 35, 189
7 13, 35, 63
13, 5, 9

∴ So the LCM of the given numbers is 3 x 7 x 13 x 5 x 9 = 12285

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12285

Therefore, the GCF of Fractions 952/39,993/35,566/189 is 1/12285

Least Common Multiple of 39,35,189 with GCF Formula

Least Common Multiple of 39,35,189 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 39,35,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,35,189) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(39,35,189) x common factors =1 x 21 = 21

LCM(39,35,189) = ( 39 × 35 × 189 ) / 21

LCM(39,35,189) = 257985 / 21

LCM(39,35,189) = 12285


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 952/39, 993/35, 566/189

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 952/39, 993/35, 566/189?

Answer: GCF of Numerators as per given numbers 952/39, 993/35, 566/189 is

GCF of Numerators i.e. for 952,993,566 is 1

LCM of denominators i.e. for 39,35,189 is 12285.

Thus, GCF of Fractions is 1/12285.Finally, GCF of Fractions for 952/39, 993/35, 566/189 is 1/12285.