GCD of 60, 45, 37 Calculator

Given Input numbers are 60, 45, 37

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 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Greatest Common Divisior

We found the divisors of 60, 45, 37 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 45, 37 is 1.

Therefore, GCD of numbers 60, 45, 37 is 1

Given Input Data is 60, 45, 37

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 45 is 3 x 3 x 5

Prime Factorization of 37 is 37

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, 45) = 180

GCD(60, 45) = ( 60 x 45 ) / 180

GCD(60, 45) = 2700 / 180

GCD(60, 45) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 37

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

LCM(15, 37) = 555

GCD(15, 37) = ( 15 x 37 ) / 555

GCD(15, 37) = 555 / 555

GCD(15, 37) = 1

GCD of 60, 45, 37 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 59, 14
• GCD of 97, 22, 53
• GCD of 63, 22, 99
• GCD of 54, 54, 33
• GCD of 50, 41, 91

1. What is the GCD of 60, 45, 37?

GCD of 60, 45, 37 is 1

2. Where do I get the detailed procedure to find GCD of 60, 45, 37?

You can find a detailed procedure to find GCD of 60, 45, 37 on our page.

3. How to find GCD of 60, 45, 37 on a calculator?

You can find the GCD of 60, 45, 37 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.