GCD of 612, 689, 60 Calculator

Given Input numbers are 612, 689, 60

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Greatest Common Divisior

We found the divisors of 612, 689, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 689, 60 is 1.

Therefore, GCD of numbers 612, 689, 60 is 1

Given Input Data is 612, 689, 60

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 689 is 13 x 53

Prime Factorization of 60 is 2 x 2 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(612, 689) = 421668

GCD(612, 689) = ( 612 x 689 ) / 421668

GCD(612, 689) = 421668 / 421668

GCD(612, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

GCD of 612, 689, 60 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 684, 80
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1. What is the GCD of 612, 689, 60?

GCD of 612, 689, 60 is 1

2. Where do I get the detailed procedure to find GCD of 612, 689, 60?

You can find a detailed procedure to find GCD of 612, 689, 60 on our page.

3. How to find GCD of 612, 689, 60 on a calculator?

You can find the GCD of 612, 689, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.