GCD of 150, 549, 77, 559 Calculator

Given Input numbers are 150, 549, 77, 559

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 549

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

1, 3, 9, 61, 183, 549

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 150, 549, 77, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 549, 77, 559 is 1.

Therefore, GCD of numbers 150, 549, 77, 559 is 1

Given Input Data is 150, 549, 77, 559

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 77 is 7 x 11

Prime Factorization of 559 is 13 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(150, 549) = 27450

GCD(150, 549) = ( 150 x 549 ) / 27450

GCD(150, 549) = 82350 / 27450

GCD(150, 549) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 77

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

LCM(3, 77) = 231

GCD(3, 77) = ( 3 x 77 ) / 231

GCD(3, 77) = 231 / 231

GCD(3, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

GCD of 150, 549, 77, 559 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 903, 91, 862
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• GCD of 775, 301, 46, 496
• GCD of 203, 755, 19, 110
• GCD of 965, 187, 20, 130

1. What is the GCD of 150, 549, 77, 559?

GCD of 150, 549, 77, 559 is 1

2. Where do I get the detailed procedure to find GCD of 150, 549, 77, 559?

You can find a detailed procedure to find GCD of 150, 549, 77, 559 on our page.

3. How to find GCD of 150, 549, 77, 559 on a calculator?

You can find the GCD of 150, 549, 77, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.