GCD of 408, 956, 372, 602 Calculator

Given Input numbers are 408, 956, 372, 602

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Greatest Common Divisior

We found the divisors of 408, 956, 372, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 956, 372, 602 is 2.

Therefore, GCD of numbers 408, 956, 372, 602 is 2

Given Input Data is 408, 956, 372, 602

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 602 is 2 x 7 x 43

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(408, 956) = 97512

GCD(408, 956) = ( 408 x 956 ) / 97512

GCD(408, 956) = 390048 / 97512

GCD(408, 956) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 372

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

LCM(4, 372) = 372

GCD(4, 372) = ( 4 x 372 ) / 372

GCD(4, 372) = 1488 / 372

GCD(4, 372) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 602

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

LCM(4, 602) = 1204

GCD(4, 602) = ( 4 x 602 ) / 1204

GCD(4, 602) = 2408 / 1204

GCD(4, 602) = 2

GCD of 408, 956, 372, 602 is 2

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1. What is the GCD of 408, 956, 372, 602?

GCD of 408, 956, 372, 602 is 2

2. Where do I get the detailed procedure to find GCD of 408, 956, 372, 602?

You can find a detailed procedure to find GCD of 408, 956, 372, 602 on our page.

3. How to find GCD of 408, 956, 372, 602 on a calculator?

You can find the GCD of 408, 956, 372, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.