GCD of 37, 78, 18, 10 Calculator

Given Input numbers are 37, 78, 18, 10

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 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 37, 78, 18, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 78, 18, 10 is 1.

Therefore, GCD of numbers 37, 78, 18, 10 is 1

Given Input Data is 37, 78, 18, 10

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

Prime Factorization of 37 is 37

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 10 is 2 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(37, 78) = 2886

GCD(37, 78) = ( 37 x 78 ) / 2886

GCD(37, 78) = 2886 / 2886

GCD(37, 78) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

GCD of 37, 78, 18, 10 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 90, 45, 43
• GCD of 93, 61, 92, 22
• GCD of 46, 34, 63, 72
• GCD of 83, 55, 31, 50
• GCD of 58, 59, 30, 45

1. What is the GCD of 37, 78, 18, 10?

GCD of 37, 78, 18, 10 is 1

2. Where do I get the detailed procedure to find GCD of 37, 78, 18, 10?

You can find a detailed procedure to find GCD of 37, 78, 18, 10 on our page.

3. How to find GCD of 37, 78, 18, 10 on a calculator?

You can find the GCD of 37, 78, 18, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.