Greatest Common Factor of 606/17, 686/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 606/17, 686/401

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 606/17,686/401

Given fractions are 606/17,686/401

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 606,686

Greatest Common Factor of Numerators i.e. GCF of 606,686 is 2 .

LCM of Denominators means LCM of 17,401 as per the given fractions.

LCM of 17,401 is 6817 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 606,686

GCF of Fractions 606/17,686/401 is 2/6817

2 606, 686
303, 343

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

Greatest Common Factor of 606,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 606,686 By Matching Biggest Common Factor Method

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 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 606,686 . The biggest common factor number is the GCF number.
So the greatest common factor 606,686 is 2.

Lets's calculate LCM of 17,401

Given numbers has no common factors except 1. So, there LCM is their product i.e 6817

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6817

Therefore, the GCF of Fractions 606/17,686/401 is 2/6817

Least Common Multiple of 17,401 with GCF Formula

Least Common Multiple of 17,401 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 17,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,401) = 1

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

GCF(17,401) x common factors =1 x 1 = 1

LCM(17,401) = ( 17 × 401 ) / 1

LCM(17,401) = 6817 / 1

LCM(17,401) = 6817


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 606/17, 686/401

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 606/17, 686/401?

Answer: GCF of Numerators as per given numbers 606/17, 686/401 is

GCF of Numerators i.e. for 606,686 is 2

LCM of denominators i.e. for 17,401 is 6817.

Thus, GCF of Fractions is 2/6817.Finally, GCF of Fractions for 606/17, 686/401 is 2/6817.