Greatest Common Factor of 568/63, 141/17, 808/51

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 568/63, 141/17, 808/51

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 568/63,141/17,808/51

Given fractions are 568/63,141/17,808/51

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 568,141,808

Greatest Common Factor of Numerators i.e. GCF of 568,141,808 is 1 .

LCM of Denominators means LCM of 63,17,51 as per the given fractions.

LCM of 63,17,51 is 1071 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 568,141,808

GCF of Fractions 568/63,141/17,808/51 is 1/1071

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

Greatest Common Factor of 568,141,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,141,808 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 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 568,141,808 . The biggest common factor number is the GCF number.
So the greatest common factor 568,141,808 is 1.

Lets's calculate LCM of 63,17,51

3 63, 17, 51
17 21, 17, 17
21, 1, 1

∴ So the LCM of the given numbers is 3 x 17 x 21 x 1 x 1 = 1071

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1071

Therefore, the GCF of Fractions 568/63,141/17,808/51 is 1/1071

Least Common Multiple of 63,17,51 with GCF Formula

Least Common Multiple of 63,17,51 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 63,17,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,17,51) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(63,17,51) x common factors =1 x 51 = 51

LCM(63,17,51) = ( 63 × 17 × 51 ) / 51

LCM(63,17,51) = 54621 / 51

LCM(63,17,51) = 1071


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 568/63, 141/17, 808/51

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 568/63, 141/17, 808/51?

Answer: GCF of Numerators as per given numbers 568/63, 141/17, 808/51 is

GCF of Numerators i.e. for 568,141,808 is 1

LCM of denominators i.e. for 63,17,51 is 1071.

Thus, GCF of Fractions is 1/1071.Finally, GCF of Fractions for 568/63, 141/17, 808/51 is 1/1071.