GCD of 301, 507, 47, 622 Calculator

Given Input numbers are 301, 507, 47, 622

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 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 301, 507, 47, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 507, 47, 622 is 1.

Therefore, GCD of numbers 301, 507, 47, 622 is 1

Given Input Data is 301, 507, 47, 622

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 47 is 47

Prime Factorization of 622 is 2 x 311

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, 507) = 152607

GCD(301, 507) = ( 301 x 507 ) / 152607

GCD(301, 507) = 152607 / 152607

GCD(301, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 622

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

LCM(1, 622) = 622

GCD(1, 622) = ( 1 x 622 ) / 622

GCD(1, 622) = 622 / 622

GCD(1, 622) = 1

GCD of 301, 507, 47, 622 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 304, 64, 996
• GCD of 745, 345, 68, 467
• GCD of 933, 128, 54, 867
• GCD of 575, 242, 89, 172
• GCD of 583, 341, 75, 764

1. What is the GCD of 301, 507, 47, 622?

GCD of 301, 507, 47, 622 is 1

2. Where do I get the detailed procedure to find GCD of 301, 507, 47, 622?

You can find a detailed procedure to find GCD of 301, 507, 47, 622 on our page.

3. How to find GCD of 301, 507, 47, 622 on a calculator?

You can find the GCD of 301, 507, 47, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.