GCD of 361, 614, 37, 530 Calculator

Given Input numbers are 361, 614, 37, 530

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Greatest Common Divisior

We found the divisors of 361, 614, 37, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 614, 37, 530 is 1.

Therefore, GCD of numbers 361, 614, 37, 530 is 1

Given Input Data is 361, 614, 37, 530

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 614 is 2 x 307

Prime Factorization of 37 is 37

Prime Factorization of 530 is 2 x 5 x 53

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(361, 614) = 221654

GCD(361, 614) = ( 361 x 614 ) / 221654

GCD(361, 614) = 221654 / 221654

GCD(361, 614) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 530

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

LCM(1, 530) = 530

GCD(1, 530) = ( 1 x 530 ) / 530

GCD(1, 530) = 530 / 530

GCD(1, 530) = 1

GCD of 361, 614, 37, 530 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 948, 62, 732
• GCD of 339, 852, 63, 481
• GCD of 453, 158, 87, 622
• GCD of 703, 506, 21, 490
• GCD of 137, 964, 36, 971

1. What is the GCD of 361, 614, 37, 530?

GCD of 361, 614, 37, 530 is 1

2. Where do I get the detailed procedure to find GCD of 361, 614, 37, 530?

You can find a detailed procedure to find GCD of 361, 614, 37, 530 on our page.

3. How to find GCD of 361, 614, 37, 530 on a calculator?

You can find the GCD of 361, 614, 37, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.