Greatest Common Factor of 206/639, 692/307, 568/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 206/639, 692/307, 568/822

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 206/639,692/307,568/822

Given fractions are 206/639,692/307,568/822

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 206,692,568

Greatest Common Factor of Numerators i.e. GCF of 206,692,568 is 2 .

LCM of Denominators means LCM of 639,307,822 as per the given fractions.

LCM of 639,307,822 is 53751402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 206,692,568

GCF of Fractions 206/639,692/307,568/822 is 2/53751402

2 206, 692, 568
103, 346, 284

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 206,692,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,692,568 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 206,692,568 . The biggest common factor number is the GCF number.
So the greatest common factor 206,692,568 is 2.

Lets's calculate LCM of 639,307,822

3 639, 307, 822
213, 307, 274

∴ So the LCM of the given numbers is 3 x 213 x 307 x 274 = 53751402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53751402

Therefore, the GCF of Fractions 206/639,692/307,568/822 is 2/53751402

Least Common Multiple of 639,307,822 with GCF Formula

Least Common Multiple of 639,307,822 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 639,307,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(639,307,822) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(639,307,822) x common factors =1 x 3 = 3

LCM(639,307,822) = ( 639 × 307 × 822 ) / 3

LCM(639,307,822) = 161254206 / 3

LCM(639,307,822) = 53751402


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 206/639, 692/307, 568/822

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 206/639, 692/307, 568/822?

Answer: GCF of Numerators as per given numbers 206/639, 692/307, 568/822 is

GCF of Numerators i.e. for 206,692,568 is 2

LCM of denominators i.e. for 639,307,822 is 53751402.

Thus, GCF of Fractions is 2/53751402.Finally, GCF of Fractions for 206/639, 692/307, 568/822 is 2/53751402.