GCD of 25, 72, 34, 60 Calculator

Given Input numbers are 25, 72, 34, 60

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

Divisors of 25

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

1, 5, 25

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 34

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

1, 2, 17, 34

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 25, 72, 34, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 72, 34, 60 is 1.

Therefore, GCD of numbers 25, 72, 34, 60 is 1

Given Input Data is 25, 72, 34, 60

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 34 is 2 x 17

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(25, 72) = 1800

GCD(25, 72) = ( 25 x 72 ) / 1800

GCD(25, 72) = 1800 / 1800

GCD(25, 72) = 1

Step2:

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

Step3:

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 25, 72, 34, 60 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 80, 42, 31
• GCD of 92, 14, 95, 76
• GCD of 76, 21, 23, 43
• GCD of 84, 19, 75, 55
• GCD of 27, 66, 96, 48

1. What is the GCD of 25, 72, 34, 60?

GCD of 25, 72, 34, 60 is 1

2. Where do I get the detailed procedure to find GCD of 25, 72, 34, 60?

You can find a detailed procedure to find GCD of 25, 72, 34, 60 on our page.

3. How to find GCD of 25, 72, 34, 60 on a calculator?

You can find the GCD of 25, 72, 34, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.