GCD of 732, 216, 533, 699 Calculator

Given Input numbers are 732, 216, 533, 699

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 732, 216, 533, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 216, 533, 699 is 1.

Therefore, GCD of numbers 732, 216, 533, 699 is 1

Given Input Data is 732, 216, 533, 699

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

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

Prime Factorization of 533 is 13 x 41

Prime Factorization of 699 is 3 x 233

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(732, 216) = 13176

GCD(732, 216) = ( 732 x 216 ) / 13176

GCD(732, 216) = 158112 / 13176

GCD(732, 216) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 533

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

LCM(12, 533) = 6396

GCD(12, 533) = ( 12 x 533 ) / 6396

GCD(12, 533) = 6396 / 6396

GCD(12, 533) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 732, 216, 533, 699 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 125, 874, 160
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• GCD of 290, 544, 360, 662

1. What is the GCD of 732, 216, 533, 699?

GCD of 732, 216, 533, 699 is 1

2. Where do I get the detailed procedure to find GCD of 732, 216, 533, 699?

You can find a detailed procedure to find GCD of 732, 216, 533, 699 on our page.

3. How to find GCD of 732, 216, 533, 699 on a calculator?

You can find the GCD of 732, 216, 533, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.