GCD of 301, 567, 22, 370 Calculator

Given Input numbers are 301, 567, 22, 370

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 301, 567, 22, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 567, 22, 370 is 1.

Therefore, GCD of numbers 301, 567, 22, 370 is 1

Given Input Data is 301, 567, 22, 370

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 22 is 2 x 11

Prime Factorization of 370 is 2 x 5 x 37

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(301, 567) = 24381

GCD(301, 567) = ( 301 x 567 ) / 24381

GCD(301, 567) = 170667 / 24381

GCD(301, 567) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 22

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

LCM(7, 22) = 154

GCD(7, 22) = ( 7 x 22 ) / 154

GCD(7, 22) = 154 / 154

GCD(7, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 301, 567, 22, 370 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 660, 18, 375
• GCD of 561, 118, 11, 630
• GCD of 567, 206, 43, 539
• GCD of 837, 138, 26, 242
• GCD of 489, 958, 54, 451

1. What is the GCD of 301, 567, 22, 370?

GCD of 301, 567, 22, 370 is 1

2. Where do I get the detailed procedure to find GCD of 301, 567, 22, 370?

You can find a detailed procedure to find GCD of 301, 567, 22, 370 on our page.

3. How to find GCD of 301, 567, 22, 370 on a calculator?

You can find the GCD of 301, 567, 22, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.