GCD of 845, 601, 21, 320 Calculator

Given Input numbers are 845, 601, 21, 320

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

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 845, 601, 21, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 601, 21, 320 is 1.

Therefore, GCD of numbers 845, 601, 21, 320 is 1

Given Input Data is 845, 601, 21, 320

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

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 601 is 601

Prime Factorization of 21 is 3 x 7

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 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(845, 601) = 507845

GCD(845, 601) = ( 845 x 601 ) / 507845

GCD(845, 601) = 507845 / 507845

GCD(845, 601) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 845, 601, 21, 320 is 1

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1. What is the GCD of 845, 601, 21, 320?

GCD of 845, 601, 21, 320 is 1

2. Where do I get the detailed procedure to find GCD of 845, 601, 21, 320?

You can find a detailed procedure to find GCD of 845, 601, 21, 320 on our page.

3. How to find GCD of 845, 601, 21, 320 on a calculator?

You can find the GCD of 845, 601, 21, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.