GCD of 90, 774, 187, 551 Calculator

Given Input numbers are 90, 774, 187, 551

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

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 90, 774, 187, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 774, 187, 551 is 1.

Therefore, GCD of numbers 90, 774, 187, 551 is 1

Given Input Data is 90, 774, 187, 551

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

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

Prime Factorization of 187 is 11 x 17

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(90, 774) = 3870

GCD(90, 774) = ( 90 x 774 ) / 3870

GCD(90, 774) = 69660 / 3870

GCD(90, 774) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 187

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

LCM(18, 187) = 3366

GCD(18, 187) = ( 18 x 187 ) / 3366

GCD(18, 187) = 3366 / 3366

GCD(18, 187) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 551

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

LCM(1, 551) = 551

GCD(1, 551) = ( 1 x 551 ) / 551

GCD(1, 551) = 551 / 551

GCD(1, 551) = 1

GCD of 90, 774, 187, 551 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 566, 332, 363
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• GCD of 88, 645, 154, 507
• GCD of 51, 959, 589, 179
• GCD of 42, 451, 591, 817

1. What is the GCD of 90, 774, 187, 551?

GCD of 90, 774, 187, 551 is 1

2. Where do I get the detailed procedure to find GCD of 90, 774, 187, 551?

You can find a detailed procedure to find GCD of 90, 774, 187, 551 on our page.

3. How to find GCD of 90, 774, 187, 551 on a calculator?

You can find the GCD of 90, 774, 187, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.