GCD of 45, 10, 31, 66 Calculator

Given Input numbers are 45, 10, 31, 66

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

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 10

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

1, 2, 5, 10

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Greatest Common Divisior

We found the divisors of 45, 10, 31, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 10, 31, 66 is 1.

Therefore, GCD of numbers 45, 10, 31, 66 is 1

Given Input Data is 45, 10, 31, 66

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 10 is 2 x 5

Prime Factorization of 31 is 31

Prime Factorization of 66 is 2 x 3 x 11

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(45, 10) = 90

GCD(45, 10) = ( 45 x 10 ) / 90

GCD(45, 10) = 450 / 90

GCD(45, 10) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 31

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

LCM(5, 31) = 155

GCD(5, 31) = ( 5 x 31 ) / 155

GCD(5, 31) = 155 / 155

GCD(5, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

GCD of 45, 10, 31, 66 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 84, 33, 89
• GCD of 26, 37, 58, 80
• GCD of 53, 84, 57, 70
• GCD of 27, 30, 21, 62
• GCD of 59, 63, 13, 43

1. What is the GCD of 45, 10, 31, 66?

GCD of 45, 10, 31, 66 is 1

2. Where do I get the detailed procedure to find GCD of 45, 10, 31, 66?

You can find a detailed procedure to find GCD of 45, 10, 31, 66 on our page.

3. How to find GCD of 45, 10, 31, 66 on a calculator?

You can find the GCD of 45, 10, 31, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.