GCD of 624, 150, 264, 436 Calculator

Given Input numbers are 624, 150, 264, 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 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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, 150, 264, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 150, 264, 436 is 2.

Therefore, GCD of numbers 624, 150, 264, 436 is 2

Given Input Data is 624, 150, 264, 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 150 is 2 x 3 x 5 x 5

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 436 is 2 x 2 x 109

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 150) = 15600

GCD(624, 150) = ( 624 x 150 ) / 15600

GCD(624, 150) = 93600 / 15600

GCD(624, 150) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 264

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

LCM(6, 264) = 264

GCD(6, 264) = ( 6 x 264 ) / 264

GCD(6, 264) = 1584 / 264

GCD(6, 264) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 436

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

LCM(6, 436) = 1308

GCD(6, 436) = ( 6 x 436 ) / 1308

GCD(6, 436) = 2616 / 1308

GCD(6, 436) = 2

GCD of 624, 150, 264, 436 is 2

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1. What is the GCD of 624, 150, 264, 436?

GCD of 624, 150, 264, 436 is 2

2. Where do I get the detailed procedure to find GCD of 624, 150, 264, 436?

You can find a detailed procedure to find GCD of 624, 150, 264, 436 on our page.

3. How to find GCD of 624, 150, 264, 436 on a calculator?

You can find the GCD of 624, 150, 264, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.