GCD of 999, 525, 84, 426 Calculator

Given Input numbers are 999, 525, 84, 426

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 999, 525, 84, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 525, 84, 426 is 3.

Therefore, GCD of numbers 999, 525, 84, 426 is 3

Given Input Data is 999, 525, 84, 426

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 426 is 2 x 3 x 71

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(999, 525) = 174825

GCD(999, 525) = ( 999 x 525 ) / 174825

GCD(999, 525) = 524475 / 174825

GCD(999, 525) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 84

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

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

GCD(3, 84) = 252 / 84

GCD(3, 84) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 426

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

LCM(3, 426) = 426

GCD(3, 426) = ( 3 x 426 ) / 426

GCD(3, 426) = 1278 / 426

GCD(3, 426) = 3

GCD of 999, 525, 84, 426 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 642, 34, 514
• GCD of 359, 594, 98, 388
• GCD of 200, 626, 26, 131
• GCD of 455, 813, 79, 573
• GCD of 722, 778, 19, 110

1. What is the GCD of 999, 525, 84, 426?

GCD of 999, 525, 84, 426 is 3

2. Where do I get the detailed procedure to find GCD of 999, 525, 84, 426?

You can find a detailed procedure to find GCD of 999, 525, 84, 426 on our page.

3. How to find GCD of 999, 525, 84, 426 on a calculator?

You can find the GCD of 999, 525, 84, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.