GCD of 365, 409, 654, 252 Calculator

Given Input numbers are 365, 409, 654, 252

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

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

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 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 365, 409, 654, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 409, 654, 252 is 1.

Therefore, GCD of numbers 365, 409, 654, 252 is 1

Given Input Data is 365, 409, 654, 252

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 409 is 409

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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(365, 409) = 149285

GCD(365, 409) = ( 365 x 409 ) / 149285

GCD(365, 409) = 149285 / 149285

GCD(365, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 365, 409, 654, 252 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 519, 608, 618, 933
• GCD of 289, 795, 292, 747
• GCD of 335, 774, 114, 395
• GCD of 717, 197, 592, 426
• GCD of 951, 626, 827, 546

1. What is the GCD of 365, 409, 654, 252?

GCD of 365, 409, 654, 252 is 1

2. Where do I get the detailed procedure to find GCD of 365, 409, 654, 252?

You can find a detailed procedure to find GCD of 365, 409, 654, 252 on our page.

3. How to find GCD of 365, 409, 654, 252 on a calculator?

You can find the GCD of 365, 409, 654, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.