GCD of 208, 668, 72, 601 Calculator

Given Input numbers are 208, 668, 72, 601

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 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

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

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Greatest Common Divisior

We found the divisors of 208, 668, 72, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 668, 72, 601 is 1.

Therefore, GCD of numbers 208, 668, 72, 601 is 1

Given Input Data is 208, 668, 72, 601

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 668 is 2 x 2 x 167

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 601 is 601

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, 668) = 34736

GCD(208, 668) = ( 208 x 668 ) / 34736

GCD(208, 668) = 138944 / 34736

GCD(208, 668) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 601

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

LCM(4, 601) = 2404

GCD(4, 601) = ( 4 x 601 ) / 2404

GCD(4, 601) = 2404 / 2404

GCD(4, 601) = 1

GCD of 208, 668, 72, 601 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 570, 14, 908
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• GCD of 563, 872, 29, 981

1. What is the GCD of 208, 668, 72, 601?

GCD of 208, 668, 72, 601 is 1

2. Where do I get the detailed procedure to find GCD of 208, 668, 72, 601?

You can find a detailed procedure to find GCD of 208, 668, 72, 601 on our page.

3. How to find GCD of 208, 668, 72, 601 on a calculator?

You can find the GCD of 208, 668, 72, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.