Greatest Common Factor of 699/59, 610/17, 591/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 699/59, 610/17, 591/82

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 699/59,610/17,591/82

Given fractions are 699/59,610/17,591/82

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 699,610,591

Greatest Common Factor of Numerators i.e. GCF of 699,610,591 is 1 .

LCM of Denominators means LCM of 59,17,82 as per the given fractions.

LCM of 59,17,82 is 82246 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 699,610,591

GCF of Fractions 699/59,610/17,591/82 is 1/82246

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

Greatest Common Factor of 699,610,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,610,591 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 699,610,591 . The biggest common factor number is the GCF number.
So the greatest common factor 699,610,591 is 1.

Lets's calculate LCM of 59,17,82

Given numbers has no common factors except 1. So, there LCM is their product i.e 82246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82246

Therefore, the GCF of Fractions 699/59,610/17,591/82 is 1/82246

Least Common Multiple of 59,17,82 with GCF Formula

Least Common Multiple of 59,17,82 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 59,17,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,17,82) = 1

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

GCF(59,17,82) x common factors =1 x 1 = 1

LCM(59,17,82) = ( 59 × 17 × 82 ) / 1

LCM(59,17,82) = 82246 / 1

LCM(59,17,82) = 82246


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 699/59, 610/17, 591/82

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 699/59, 610/17, 591/82?

Answer: GCF of Numerators as per given numbers 699/59, 610/17, 591/82 is

GCF of Numerators i.e. for 699,610,591 is 1

LCM of denominators i.e. for 59,17,82 is 82246.

Thus, GCF of Fractions is 1/82246.Finally, GCF of Fractions for 699/59, 610/17, 591/82 is 1/82246.