GCD of 536, 250, 36, 800 Calculator

Given Input numbers are 536, 250, 36, 800

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 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 536, 250, 36, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 250, 36, 800 is 2.

Therefore, GCD of numbers 536, 250, 36, 800 is 2

Given Input Data is 536, 250, 36, 800

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 250 is 2 x 5 x 5 x 5

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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(536, 250) = 67000

GCD(536, 250) = ( 536 x 250 ) / 67000

GCD(536, 250) = 134000 / 67000

GCD(536, 250) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 800

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

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

GCD(2, 800) = 1600 / 800

GCD(2, 800) = 2

GCD of 536, 250, 36, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 517, 11, 358
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• GCD of 952, 599, 98, 174

1. What is the GCD of 536, 250, 36, 800?

GCD of 536, 250, 36, 800 is 2

2. Where do I get the detailed procedure to find GCD of 536, 250, 36, 800?

You can find a detailed procedure to find GCD of 536, 250, 36, 800 on our page.

3. How to find GCD of 536, 250, 36, 800 on a calculator?

You can find the GCD of 536, 250, 36, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.