GCD of 37, 71, 15, 65 Calculator

Given Input numbers are 37, 71, 15, 65

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

Divisors of 37

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

1, 37

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Greatest Common Divisior

We found the divisors of 37, 71, 15, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 71, 15, 65 is 1.

Therefore, GCD of numbers 37, 71, 15, 65 is 1

Given Input Data is 37, 71, 15, 65

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

Prime Factorization of 37 is 37

Prime Factorization of 71 is 71

Prime Factorization of 15 is 3 x 5

Prime Factorization of 65 is 5 x 13

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(37, 71) = 2627

GCD(37, 71) = ( 37 x 71 ) / 2627

GCD(37, 71) = 2627 / 2627

GCD(37, 71) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

GCD of 37, 71, 15, 65 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 85, 43, 31
• GCD of 28, 29, 16, 83
• GCD of 72, 35, 28, 78
• GCD of 41, 58, 35, 83
• GCD of 45, 90, 48, 89

1. What is the GCD of 37, 71, 15, 65?

GCD of 37, 71, 15, 65 is 1

2. Where do I get the detailed procedure to find GCD of 37, 71, 15, 65?

You can find a detailed procedure to find GCD of 37, 71, 15, 65 on our page.

3. How to find GCD of 37, 71, 15, 65 on a calculator?

You can find the GCD of 37, 71, 15, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.