GCD of 60, 24, 59, 34 Calculator

Given Input numbers are 60, 24, 59, 34

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 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Greatest Common Divisior

We found the divisors of 60, 24, 59, 34 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 24, 59, 34 is 1.

Therefore, GCD of numbers 60, 24, 59, 34 is 1

Given Input Data is 60, 24, 59, 34

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 24 is 2 x 2 x 2 x 3

Prime Factorization of 59 is 59

Prime Factorization of 34 is 2 x 17

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, 24) = 120

GCD(60, 24) = ( 60 x 24 ) / 120

GCD(60, 24) = 1440 / 120

GCD(60, 24) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 59

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

LCM(12, 59) = 708

GCD(12, 59) = ( 12 x 59 ) / 708

GCD(12, 59) = 708 / 708

GCD(12, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

GCD of 60, 24, 59, 34 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 40, 78, 23
• GCD of 56, 98, 77, 47
• GCD of 34, 62, 65, 17
• GCD of 36, 12, 63, 50
• GCD of 17, 65, 69, 85

1. What is the GCD of 60, 24, 59, 34?

GCD of 60, 24, 59, 34 is 1

2. Where do I get the detailed procedure to find GCD of 60, 24, 59, 34?

You can find a detailed procedure to find GCD of 60, 24, 59, 34 on our page.

3. How to find GCD of 60, 24, 59, 34 on a calculator?

You can find the GCD of 60, 24, 59, 34 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.