GCD of 150, 369, 55, 514 Calculator

Given Input numbers are 150, 369, 55, 514

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 150, 369, 55, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 369, 55, 514 is 1.

Therefore, GCD of numbers 150, 369, 55, 514 is 1

Given Input Data is 150, 369, 55, 514

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 369 is 3 x 3 x 41

Prime Factorization of 55 is 5 x 11

Prime Factorization of 514 is 2 x 257

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, 369) = 18450

GCD(150, 369) = ( 150 x 369 ) / 18450

GCD(150, 369) = 55350 / 18450

GCD(150, 369) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 55

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

LCM(3, 55) = 165

GCD(3, 55) = ( 3 x 55 ) / 165

GCD(3, 55) = 165 / 165

GCD(3, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 150, 369, 55, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 679, 34, 245
• GCD of 629, 281, 69, 627
• GCD of 329, 138, 14, 800
• GCD of 124, 373, 78, 682
• GCD of 719, 334, 72, 881

1. What is the GCD of 150, 369, 55, 514?

GCD of 150, 369, 55, 514 is 1

2. Where do I get the detailed procedure to find GCD of 150, 369, 55, 514?

You can find a detailed procedure to find GCD of 150, 369, 55, 514 on our page.

3. How to find GCD of 150, 369, 55, 514 on a calculator?

You can find the GCD of 150, 369, 55, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.