Greatest Common Factor of 39/206, 43/153, 669/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/206, 43/153, 669/966

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 39/206,43/153,669/966

Given fractions are 39/206,43/153,669/966

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 39,43,669

Greatest Common Factor of Numerators i.e. GCF of 39,43,669 is 1 .

LCM of Denominators means LCM of 206,153,966 as per the given fractions.

LCM of 206,153,966 is 5074398 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,43,669

GCF of Fractions 39/206,43/153,669/966 is 1/5074398

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

Greatest Common Factor of 39,43,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,43,669 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 39,43,669 . The biggest common factor number is the GCF number.
So the greatest common factor 39,43,669 is 1.

Lets's calculate LCM of 206,153,966

2 206, 153, 966
3 103, 153, 483
103, 51, 161

∴ So the LCM of the given numbers is 2 x 3 x 103 x 51 x 161 = 5074398

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5074398

Therefore, the GCF of Fractions 39/206,43/153,669/966 is 1/5074398

Least Common Multiple of 206,153,966 with GCF Formula

Least Common Multiple of 206,153,966 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 206,153,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,153,966) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(206,153,966) x common factors =1 x 6 = 6

LCM(206,153,966) = ( 206 × 153 × 966 ) / 6

LCM(206,153,966) = 30446388 / 6

LCM(206,153,966) = 5074398


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 39/206, 43/153, 669/966

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 39/206, 43/153, 669/966?

Answer: GCF of Numerators as per given numbers 39/206, 43/153, 669/966 is

GCF of Numerators i.e. for 39,43,669 is 1

LCM of denominators i.e. for 206,153,966 is 5074398.

Thus, GCF of Fractions is 1/5074398.Finally, GCF of Fractions for 39/206, 43/153, 669/966 is 1/5074398.