GCD of 936, 170, 52, 504 Calculator

Given Input numbers are 936, 170, 52, 504

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

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

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 936, 170, 52, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 170, 52, 504 is 2.

Therefore, GCD of numbers 936, 170, 52, 504 is 2

Given Input Data is 936, 170, 52, 504

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

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 52 is 2 x 2 x 13

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

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(936, 170) = 79560

GCD(936, 170) = ( 936 x 170 ) / 79560

GCD(936, 170) = 159120 / 79560

GCD(936, 170) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 504

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

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

GCD(2, 504) = 1008 / 504

GCD(2, 504) = 2

GCD of 936, 170, 52, 504 is 2

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1. What is the GCD of 936, 170, 52, 504?

GCD of 936, 170, 52, 504 is 2

2. Where do I get the detailed procedure to find GCD of 936, 170, 52, 504?

You can find a detailed procedure to find GCD of 936, 170, 52, 504 on our page.

3. How to find GCD of 936, 170, 52, 504 on a calculator?

You can find the GCD of 936, 170, 52, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.