GCD of 60, 25, 58, 69 Calculator

Given Input numbers are 60, 25, 58, 69

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 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Greatest Common Divisior

We found the divisors of 60, 25, 58, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 25, 58, 69 is 1.

Therefore, GCD of numbers 60, 25, 58, 69 is 1

Given Input Data is 60, 25, 58, 69

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 25 is 5 x 5

Prime Factorization of 58 is 2 x 29

Prime Factorization of 69 is 3 x 23

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, 25) = 300

GCD(60, 25) = ( 60 x 25 ) / 300

GCD(60, 25) = 1500 / 300

GCD(60, 25) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 58

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

LCM(5, 58) = 290

GCD(5, 58) = ( 5 x 58 ) / 290

GCD(5, 58) = 290 / 290

GCD(5, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

GCD of 60, 25, 58, 69 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 84, 58, 60
• GCD of 81, 21, 89, 11
• GCD of 69, 88, 85, 37
• GCD of 11, 80, 53, 33
• GCD of 31, 96, 36, 66

1. What is the GCD of 60, 25, 58, 69?

GCD of 60, 25, 58, 69 is 1

2. Where do I get the detailed procedure to find GCD of 60, 25, 58, 69?

You can find a detailed procedure to find GCD of 60, 25, 58, 69 on our page.

3. How to find GCD of 60, 25, 58, 69 on a calculator?

You can find the GCD of 60, 25, 58, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.