GCD of 168, 426, 504 Calculator

Given Input numbers are 168, 426, 504

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 426

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

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 168, 426, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 426, 504 is 6.

Therefore, GCD of numbers 168, 426, 504 is 6

Given Input Data is 168, 426, 504

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(168, 426) = 11928

GCD(168, 426) = ( 168 x 426 ) / 11928

GCD(168, 426) = 71568 / 11928

GCD(168, 426) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 504

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

LCM(6, 504) = 504

GCD(6, 504) = ( 6 x 504 ) / 504

GCD(6, 504) = 3024 / 504

GCD(6, 504) = 6

GCD of 168, 426, 504 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 291, 186
• GCD of 435, 543, 455
• GCD of 849, 797, 961
• GCD of 334, 649, 452
• GCD of 233, 563, 712

1. What is the GCD of 168, 426, 504?

GCD of 168, 426, 504 is 6

2. Where do I get the detailed procedure to find GCD of 168, 426, 504?

You can find a detailed procedure to find GCD of 168, 426, 504 on our page.

3. How to find GCD of 168, 426, 504 on a calculator?

You can find the GCD of 168, 426, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.