GCD of 16, 924, 598, 426 Calculator

Given Input numbers are 16, 924, 598, 426

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 16, 924, 598, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 924, 598, 426 is 2.

Therefore, GCD of numbers 16, 924, 598, 426 is 2

Given Input Data is 16, 924, 598, 426

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 426 is 2 x 3 x 71

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(16, 924) = 3696

GCD(16, 924) = ( 16 x 924 ) / 3696

GCD(16, 924) = 14784 / 3696

GCD(16, 924) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 598

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

LCM(4, 598) = 1196

GCD(4, 598) = ( 4 x 598 ) / 1196

GCD(4, 598) = 2392 / 1196

GCD(4, 598) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 426

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

LCM(2, 426) = 426

GCD(2, 426) = ( 2 x 426 ) / 426

GCD(2, 426) = 852 / 426

GCD(2, 426) = 2

GCD of 16, 924, 598, 426 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 614, 519, 754
• GCD of 33, 330, 633, 112
• GCD of 41, 722, 621, 782
• GCD of 15, 197, 418, 817
• GCD of 10, 278, 372, 127

1. What is the GCD of 16, 924, 598, 426?

GCD of 16, 924, 598, 426 is 2

2. Where do I get the detailed procedure to find GCD of 16, 924, 598, 426?

You can find a detailed procedure to find GCD of 16, 924, 598, 426 on our page.

3. How to find GCD of 16, 924, 598, 426 on a calculator?

You can find the GCD of 16, 924, 598, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.