GCD of 624, 361, 120, 436 Calculator

Given Input numbers are 624, 361, 120, 436

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 361

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

1, 19, 361

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 624, 361, 120, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 361, 120, 436 is 1.

Therefore, GCD of numbers 624, 361, 120, 436 is 1

Given Input Data is 624, 361, 120, 436

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 361 is 19 x 19

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 436 is 2 x 2 x 109

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(624, 361) = 225264

GCD(624, 361) = ( 624 x 361 ) / 225264

GCD(624, 361) = 225264 / 225264

GCD(624, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 436

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

LCM(1, 436) = 436

GCD(1, 436) = ( 1 x 436 ) / 436

GCD(1, 436) = 436 / 436

GCD(1, 436) = 1

GCD of 624, 361, 120, 436 is 1

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1. What is the GCD of 624, 361, 120, 436?

GCD of 624, 361, 120, 436 is 1

2. Where do I get the detailed procedure to find GCD of 624, 361, 120, 436?

You can find a detailed procedure to find GCD of 624, 361, 120, 436 on our page.

3. How to find GCD of 624, 361, 120, 436 on a calculator?

You can find the GCD of 624, 361, 120, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.