GCD of 920, 645, 13, 364 Calculator

Given Input numbers are 920, 645, 13, 364

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 920, 645, 13, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 645, 13, 364 is 1.

Therefore, GCD of numbers 920, 645, 13, 364 is 1

Given Input Data is 920, 645, 13, 364

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 13 is 13

Prime Factorization of 364 is 2 x 2 x 7 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(920, 645) = 118680

GCD(920, 645) = ( 920 x 645 ) / 118680

GCD(920, 645) = 593400 / 118680

GCD(920, 645) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 13

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

LCM(5, 13) = 65

GCD(5, 13) = ( 5 x 13 ) / 65

GCD(5, 13) = 65 / 65

GCD(5, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 920, 645, 13, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 245, 31, 181
• GCD of 139, 305, 76, 859
• GCD of 756, 990, 27, 934
• GCD of 248, 978, 96, 323
• GCD of 202, 498, 69, 833

1. What is the GCD of 920, 645, 13, 364?

GCD of 920, 645, 13, 364 is 1

2. Where do I get the detailed procedure to find GCD of 920, 645, 13, 364?

You can find a detailed procedure to find GCD of 920, 645, 13, 364 on our page.

3. How to find GCD of 920, 645, 13, 364 on a calculator?

You can find the GCD of 920, 645, 13, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.