GCD of 138, 208, 551 Calculator

Given Input numbers are 138, 208, 551

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

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 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Greatest Common Divisior

We found the divisors of 138, 208, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 208, 551 is 1.

Therefore, GCD of numbers 138, 208, 551 is 1

Given Input Data is 138, 208, 551

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

Prime Factorization of 138 is 2 x 3 x 23

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

Prime Factorization of 551 is 19 x 29

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(138, 208) = 14352

GCD(138, 208) = ( 138 x 208 ) / 14352

GCD(138, 208) = 28704 / 14352

GCD(138, 208) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 551

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

LCM(2, 551) = 1102

GCD(2, 551) = ( 2 x 551 ) / 1102

GCD(2, 551) = 1102 / 1102

GCD(2, 551) = 1

GCD of 138, 208, 551 is 1

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1. What is the GCD of 138, 208, 551?

GCD of 138, 208, 551 is 1

2. Where do I get the detailed procedure to find GCD of 138, 208, 551?

You can find a detailed procedure to find GCD of 138, 208, 551 on our page.

3. How to find GCD of 138, 208, 551 on a calculator?

You can find the GCD of 138, 208, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.