GCD of 400, 132, 468, 624 Calculator

Given Input numbers are 400, 132, 468, 624

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

Greatest Common Divisior

We found the divisors of 400, 132, 468, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 132, 468, 624 is 4.

Therefore, GCD of numbers 400, 132, 468, 624 is 4

Given Input Data is 400, 132, 468, 624

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(400, 132) = 13200

GCD(400, 132) = ( 400 x 132 ) / 13200

GCD(400, 132) = 52800 / 13200

GCD(400, 132) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 468

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

LCM(4, 468) = 468

GCD(4, 468) = ( 4 x 468 ) / 468

GCD(4, 468) = 1872 / 468

GCD(4, 468) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 624

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

LCM(4, 624) = 624

GCD(4, 624) = ( 4 x 624 ) / 624

GCD(4, 624) = 2496 / 624

GCD(4, 624) = 4

GCD of 400, 132, 468, 624 is 4

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1. What is the GCD of 400, 132, 468, 624?

GCD of 400, 132, 468, 624 is 4

2. Where do I get the detailed procedure to find GCD of 400, 132, 468, 624?

You can find a detailed procedure to find GCD of 400, 132, 468, 624 on our page.

3. How to find GCD of 400, 132, 468, 624 on a calculator?

You can find the GCD of 400, 132, 468, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.