GCD of 42, 462, 642, 924 Calculator

Given Input numbers are 42, 462, 642, 924

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 42, 462, 642, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 462, 642, 924 is 6.

Therefore, GCD of numbers 42, 462, 642, 924 is 6

Given Input Data is 42, 462, 642, 924

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(42, 462) = 462

GCD(42, 462) = ( 42 x 462 ) / 462

GCD(42, 462) = 19404 / 462

GCD(42, 462) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 642

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

LCM(42, 642) = 4494

GCD(42, 642) = ( 42 x 642 ) / 4494

GCD(42, 642) = 26964 / 4494

GCD(42, 642) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 924

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

LCM(6, 924) = 924

GCD(6, 924) = ( 6 x 924 ) / 924

GCD(6, 924) = 5544 / 924

GCD(6, 924) = 6

GCD of 42, 462, 642, 924 is 6

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• GCD of 26, 408, 876, 697
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• GCD of 40, 107, 395, 855
• GCD of 38, 954, 131, 470

1. What is the GCD of 42, 462, 642, 924?

GCD of 42, 462, 642, 924 is 6

2. Where do I get the detailed procedure to find GCD of 42, 462, 642, 924?

You can find a detailed procedure to find GCD of 42, 462, 642, 924 on our page.

3. How to find GCD of 42, 462, 642, 924 on a calculator?

You can find the GCD of 42, 462, 642, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.