GCD of 52, 536, 144, 216 Calculator

Given Input numbers are 52, 536, 144, 216

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

Divisors of 52

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

1, 2, 4, 13, 26, 52

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 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 52, 536, 144, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 536, 144, 216 is 4.

Therefore, GCD of numbers 52, 536, 144, 216 is 4

Given Input Data is 52, 536, 144, 216

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

Prime Factorization of 52 is 2 x 2 x 13

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(52, 536) = 6968

GCD(52, 536) = ( 52 x 536 ) / 6968

GCD(52, 536) = 27872 / 6968

GCD(52, 536) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 144

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

LCM(4, 144) = 144

GCD(4, 144) = ( 4 x 144 ) / 144

GCD(4, 144) = 576 / 144

GCD(4, 144) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 216

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

LCM(4, 216) = 216

GCD(4, 216) = ( 4 x 216 ) / 216

GCD(4, 216) = 864 / 216

GCD(4, 216) = 4

GCD of 52, 536, 144, 216 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 488, 411, 472
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• GCD of 83, 363, 716, 830
• GCD of 70, 986, 190, 938
• GCD of 65, 985, 240, 890

1. What is the GCD of 52, 536, 144, 216?

GCD of 52, 536, 144, 216 is 4

2. Where do I get the detailed procedure to find GCD of 52, 536, 144, 216?

You can find a detailed procedure to find GCD of 52, 536, 144, 216 on our page.

3. How to find GCD of 52, 536, 144, 216 on a calculator?

You can find the GCD of 52, 536, 144, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.