GCD of 45, 506, 962, 664 Calculator

Given Input numbers are 45, 506, 962, 664

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 45, 506, 962, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 506, 962, 664 is 1.

Therefore, GCD of numbers 45, 506, 962, 664 is 1

Given Input Data is 45, 506, 962, 664

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 506 is 2 x 11 x 23

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 664 is 2 x 2 x 2 x 83

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, 506) = 22770

GCD(45, 506) = ( 45 x 506 ) / 22770

GCD(45, 506) = 22770 / 22770

GCD(45, 506) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 962

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

LCM(1, 962) = 962

GCD(1, 962) = ( 1 x 962 ) / 962

GCD(1, 962) = 962 / 962

GCD(1, 962) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 45, 506, 962, 664 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 978, 689, 362
• GCD of 79, 747, 145, 196
• GCD of 32, 459, 198, 758
• GCD of 48, 156, 259, 652
• GCD of 18, 979, 350, 614

1. What is the GCD of 45, 506, 962, 664?

GCD of 45, 506, 962, 664 is 1

2. Where do I get the detailed procedure to find GCD of 45, 506, 962, 664?

You can find a detailed procedure to find GCD of 45, 506, 962, 664 on our page.

3. How to find GCD of 45, 506, 962, 664 on a calculator?

You can find the GCD of 45, 506, 962, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.