GCD of 654, 579, 36, 380 Calculator

Given Input numbers are 654, 579, 36, 380

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 654, 579, 36, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 579, 36, 380 is 1.

Therefore, GCD of numbers 654, 579, 36, 380 is 1

Given Input Data is 654, 579, 36, 380

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 579 is 3 x 193

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 380 is 2 x 2 x 5 x 19

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(654, 579) = 126222

GCD(654, 579) = ( 654 x 579 ) / 126222

GCD(654, 579) = 378666 / 126222

GCD(654, 579) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 380

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

LCM(3, 380) = 1140

GCD(3, 380) = ( 3 x 380 ) / 1140

GCD(3, 380) = 1140 / 1140

GCD(3, 380) = 1

GCD of 654, 579, 36, 380 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 430, 27, 762
• GCD of 864, 442, 27, 530
• GCD of 918, 935, 19, 334
• GCD of 451, 548, 10, 417
• GCD of 939, 401, 24, 274

1. What is the GCD of 654, 579, 36, 380?

GCD of 654, 579, 36, 380 is 1

2. Where do I get the detailed procedure to find GCD of 654, 579, 36, 380?

You can find a detailed procedure to find GCD of 654, 579, 36, 380 on our page.

3. How to find GCD of 654, 579, 36, 380 on a calculator?

You can find the GCD of 654, 579, 36, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.