GCD of 208, 178, 775, 221 Calculator

Given Input numbers are 208, 178, 775, 221

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 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 208, 178, 775, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 178, 775, 221 is 1.

Therefore, GCD of numbers 208, 178, 775, 221 is 1

Given Input Data is 208, 178, 775, 221

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 178 is 2 x 89

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 221 is 13 x 17

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, 178) = 18512

GCD(208, 178) = ( 208 x 178 ) / 18512

GCD(208, 178) = 37024 / 18512

GCD(208, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 775

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

LCM(2, 775) = 1550

GCD(2, 775) = ( 2 x 775 ) / 1550

GCD(2, 775) = 1550 / 1550

GCD(2, 775) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 208, 178, 775, 221 is 1

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1. What is the GCD of 208, 178, 775, 221?

GCD of 208, 178, 775, 221 is 1

2. Where do I get the detailed procedure to find GCD of 208, 178, 775, 221?

You can find a detailed procedure to find GCD of 208, 178, 775, 221 on our page.

3. How to find GCD of 208, 178, 775, 221 on a calculator?

You can find the GCD of 208, 178, 775, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.