GCD of 536, 504, 38, 869 Calculator

Given Input numbers are 536, 504, 38, 869

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

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 536, 504, 38, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 504, 38, 869 is 1.

Therefore, GCD of numbers 536, 504, 38, 869 is 1

Given Input Data is 536, 504, 38, 869

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

Prime Factorization of 536 is 2 x 2 x 2 x 67

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 869 is 11 x 79

The above numbers do not have any common prime factor. So GCD is 1

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(536, 504) = 33768

GCD(536, 504) = ( 536 x 504 ) / 33768

GCD(536, 504) = 270144 / 33768

GCD(536, 504) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 38

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

LCM(8, 38) = 152

GCD(8, 38) = ( 8 x 38 ) / 152

GCD(8, 38) = 304 / 152

GCD(8, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 869

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

LCM(2, 869) = 1738

GCD(2, 869) = ( 2 x 869 ) / 1738

GCD(2, 869) = 1738 / 1738

GCD(2, 869) = 1

GCD of 536, 504, 38, 869 is 1

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1. What is the GCD of 536, 504, 38, 869?

GCD of 536, 504, 38, 869 is 1

2. Where do I get the detailed procedure to find GCD of 536, 504, 38, 869?

You can find a detailed procedure to find GCD of 536, 504, 38, 869 on our page.

3. How to find GCD of 536, 504, 38, 869 on a calculator?

You can find the GCD of 536, 504, 38, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.