GCD of 60, 6, 13, 10 Calculator

Given Input numbers are 60, 6, 13, 10

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

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

Divisors of 6

List of positive integer divisors of 6 that divides 6 without a remainder.

1, 2, 3, 6

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 60, 6, 13, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 6, 13, 10 is 1.

Therefore, GCD of numbers 60, 6, 13, 10 is 1

Given Input Data is 60, 6, 13, 10

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

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

Prime Factorization of 6 is 2 x 3

Prime Factorization of 13 is 13

Prime Factorization of 10 is 2 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(60, 6) = 60

GCD(60, 6) = ( 60 x 6 ) / 60

GCD(60, 6) = 360 / 60

GCD(60, 6) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 13

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

LCM(6, 13) = 78

GCD(6, 13) = ( 6 x 13 ) / 78

GCD(6, 13) = 78 / 78

GCD(6, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

GCD of 60, 6, 13, 10 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 2, 97, 59
• GCD of 47, 9, 68, 21
• GCD of 86, 8, 12, 18
• GCD of 17, 9, 72, 50
• GCD of 48, 9, 94, 59

1. What is the GCD of 60, 6, 13, 10?

GCD of 60, 6, 13, 10 is 1

2. Where do I get the detailed procedure to find GCD of 60, 6, 13, 10?

You can find a detailed procedure to find GCD of 60, 6, 13, 10 on our page.

3. How to find GCD of 60, 6, 13, 10 on a calculator?

You can find the GCD of 60, 6, 13, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.