GCD of 208, 652, 272, 733 Calculator

Given Input numbers are 208, 652, 272, 733

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 208, 652, 272, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 652, 272, 733 is 1.

Therefore, GCD of numbers 208, 652, 272, 733 is 1

Given Input Data is 208, 652, 272, 733

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 733 is 733

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(208, 652) = 33904

GCD(208, 652) = ( 208 x 652 ) / 33904

GCD(208, 652) = 135616 / 33904

GCD(208, 652) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 272

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

LCM(4, 272) = 272

GCD(4, 272) = ( 4 x 272 ) / 272

GCD(4, 272) = 1088 / 272

GCD(4, 272) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 733

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

LCM(4, 733) = 2932

GCD(4, 733) = ( 4 x 733 ) / 2932

GCD(4, 733) = 2932 / 2932

GCD(4, 733) = 1

GCD of 208, 652, 272, 733 is 1

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1. What is the GCD of 208, 652, 272, 733?

GCD of 208, 652, 272, 733 is 1

2. Where do I get the detailed procedure to find GCD of 208, 652, 272, 733?

You can find a detailed procedure to find GCD of 208, 652, 272, 733 on our page.

3. How to find GCD of 208, 652, 272, 733 on a calculator?

You can find the GCD of 208, 652, 272, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.