Greatest Common Factor of 568/475, 8818/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 568/475, 8818/429

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 568/475,8818/429

Given fractions are 568/475,8818/429

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 568,8818

Greatest Common Factor of Numerators i.e. GCF of 568,8818 is 2 .

LCM of Denominators means LCM of 475,429 as per the given fractions.

LCM of 475,429 is 203775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 568,8818

GCF of Fractions 568/475,8818/429 is 2/203775

2 568, 8818
284, 4409

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

Greatest Common Factor of 568,8818 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,8818 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 8818

List of positive integer factors of 8818 that divides 8818 without a remainder.

1,2,4409,8818

Greatest Common Factor

We found the factors 568,8818 . The biggest common factor number is the GCF number.
So the greatest common factor 568,8818 is 2.

Lets's calculate LCM of 475,429

Given numbers has no common factors except 1. So, there LCM is their product i.e 203775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/203775

Therefore, the GCF of Fractions 568/475,8818/429 is 2/203775

Least Common Multiple of 475,429 with GCF Formula

Least Common Multiple of 475,429 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 475,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,429) = 1

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

GCF(475,429) x common factors =1 x 1 = 1

LCM(475,429) = ( 475 × 429 ) / 1

LCM(475,429) = 203775 / 1

LCM(475,429) = 203775


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 568/475, 8818/429

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 568/475, 8818/429?

Answer: GCF of Numerators as per given numbers 568/475, 8818/429 is

GCF of Numerators i.e. for 568,8818 is 2

LCM of denominators i.e. for 475,429 is 203775.

Thus, GCF of Fractions is 2/203775.Finally, GCF of Fractions for 568/475, 8818/429 is 2/203775.