Greatest Common Factor of 568/400, 453/163, 209/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 568/400, 453/163, 209/796

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 568/400,453/163,209/796

Given fractions are 568/400,453/163,209/796

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 568,453,209

Greatest Common Factor of Numerators i.e. GCF of 568,453,209 is 1 .

LCM of Denominators means LCM of 400,163,796 as per the given fractions.

LCM of 400,163,796 is 12974800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 568,453,209

GCF of Fractions 568/400,453/163,209/796 is 1/12974800

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

Greatest Common Factor of 568,453,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,453,209 By Matching Biggest Common Factor Method

Factors of 568

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

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

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 568,453,209 . The biggest common factor number is the GCF number.
So the greatest common factor 568,453,209 is 1.

Lets's calculate LCM of 400,163,796

2 400, 163, 796
2 200, 163, 398
100, 163, 199

∴ So the LCM of the given numbers is 2 x 2 x 100 x 163 x 199 = 12974800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12974800

Therefore, the GCF of Fractions 568/400,453/163,209/796 is 1/12974800

Least Common Multiple of 400,163,796 with GCF Formula

Least Common Multiple of 400,163,796 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 400,163,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,163,796) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(400,163,796) x common factors =1 x 4 = 4

LCM(400,163,796) = ( 400 × 163 × 796 ) / 4

LCM(400,163,796) = 51899200 / 4

LCM(400,163,796) = 12974800


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 568/400, 453/163, 209/796

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 568/400, 453/163, 209/796?

Answer: GCF of Numerators as per given numbers 568/400, 453/163, 209/796 is

GCF of Numerators i.e. for 568,453,209 is 1

LCM of denominators i.e. for 400,163,796 is 12974800.

Thus, GCF of Fractions is 1/12974800.Finally, GCF of Fractions for 568/400, 453/163, 209/796 is 1/12974800.