Greatest Common Factor of 523/51, 342/17, 690/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 523/51, 342/17, 690/817

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 523/51,342/17,690/817

Given fractions are 523/51,342/17,690/817

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 523,342,690

Greatest Common Factor of Numerators i.e. GCF of 523,342,690 is 1 .

LCM of Denominators means LCM of 51,17,817 as per the given fractions.

LCM of 51,17,817 is 41667 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 523,342,690

GCF of Fractions 523/51,342/17,690/817 is 1/41667

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

Greatest Common Factor of 523,342,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,342,690 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 523,342,690 . The biggest common factor number is the GCF number.
So the greatest common factor 523,342,690 is 1.

Lets's calculate LCM of 51,17,817

17 51, 17, 817
3, 1, 817

∴ So the LCM of the given numbers is 17 x 3 x 1 x 817 = 41667

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41667

Therefore, the GCF of Fractions 523/51,342/17,690/817 is 1/41667

Least Common Multiple of 51,17,817 with GCF Formula

Least Common Multiple of 51,17,817 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 51,17,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,17,817) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(51,17,817) x common factors =1 x 17 = 17

LCM(51,17,817) = ( 51 × 17 × 817 ) / 17

LCM(51,17,817) = 708339 / 17

LCM(51,17,817) = 41667


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 523/51, 342/17, 690/817

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 523/51, 342/17, 690/817?

Answer: GCF of Numerators as per given numbers 523/51, 342/17, 690/817 is

GCF of Numerators i.e. for 523,342,690 is 1

LCM of denominators i.e. for 51,17,817 is 41667.

Thus, GCF of Fractions is 1/41667.Finally, GCF of Fractions for 523/51, 342/17, 690/817 is 1/41667.