GCD of 220, 549, 394, 774 Calculator

Given Input numbers are 220, 549, 394, 774

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 220, 549, 394, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 549, 394, 774 is 1.

Therefore, GCD of numbers 220, 549, 394, 774 is 1

Given Input Data is 220, 549, 394, 774

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 394 is 2 x 197

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(220, 549) = 120780

GCD(220, 549) = ( 220 x 549 ) / 120780

GCD(220, 549) = 120780 / 120780

GCD(220, 549) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 394

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

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

GCD(1, 394) = 394 / 394

GCD(1, 394) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 220, 549, 394, 774 is 1

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1. What is the GCD of 220, 549, 394, 774?

GCD of 220, 549, 394, 774 is 1

2. Where do I get the detailed procedure to find GCD of 220, 549, 394, 774?

You can find a detailed procedure to find GCD of 220, 549, 394, 774 on our page.

3. How to find GCD of 220, 549, 394, 774 on a calculator?

You can find the GCD of 220, 549, 394, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.