GCD of 144, 550, 427, 774 Calculator

Given Input numbers are 144, 550, 427, 774

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

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 144, 550, 427, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 550, 427, 774 is 1.

Therefore, GCD of numbers 144, 550, 427, 774 is 1

Given Input Data is 144, 550, 427, 774

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 427 is 7 x 61

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(144, 550) = 39600

GCD(144, 550) = ( 144 x 550 ) / 39600

GCD(144, 550) = 79200 / 39600

GCD(144, 550) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 427

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

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

GCD(2, 427) = 854 / 854

GCD(2, 427) = 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 144, 550, 427, 774 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 476, 179, 567
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• GCD of 778, 778, 647, 317
• GCD of 956, 328, 372, 358

1. What is the GCD of 144, 550, 427, 774?

GCD of 144, 550, 427, 774 is 1

2. Where do I get the detailed procedure to find GCD of 144, 550, 427, 774?

You can find a detailed procedure to find GCD of 144, 550, 427, 774 on our page.

3. How to find GCD of 144, 550, 427, 774 on a calculator?

You can find the GCD of 144, 550, 427, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.