Greatest Common Factor of 583/59, 606/14, 323/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 583/59, 606/14, 323/521

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 583/59,606/14,323/521

Given fractions are 583/59,606/14,323/521

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 583,606,323

Greatest Common Factor of Numerators i.e. GCF of 583,606,323 is 1 .

LCM of Denominators means LCM of 59,14,521 as per the given fractions.

LCM of 59,14,521 is 430346 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 583,606,323

GCF of Fractions 583/59,606/14,323/521 is 1/430346

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

Greatest Common Factor of 583,606,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,606,323 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 583,606,323 . The biggest common factor number is the GCF number.
So the greatest common factor 583,606,323 is 1.

Lets's calculate LCM of 59,14,521

Given numbers has no common factors except 1. So, there LCM is their product i.e 430346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/430346

Therefore, the GCF of Fractions 583/59,606/14,323/521 is 1/430346

Least Common Multiple of 59,14,521 with GCF Formula

Least Common Multiple of 59,14,521 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 59,14,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,14,521) = 1

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

GCF(59,14,521) x common factors =1 x 1 = 1

LCM(59,14,521) = ( 59 × 14 × 521 ) / 1

LCM(59,14,521) = 430346 / 1

LCM(59,14,521) = 430346


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 583/59, 606/14, 323/521

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 583/59, 606/14, 323/521?

Answer: GCF of Numerators as per given numbers 583/59, 606/14, 323/521 is

GCF of Numerators i.e. for 583,606,323 is 1

LCM of denominators i.e. for 59,14,521 is 430346.

Thus, GCF of Fractions is 1/430346.Finally, GCF of Fractions for 583/59, 606/14, 323/521 is 1/430346.