GCD of 74, 387, 150, 514 Calculator

Given Input numbers are 74, 387, 150, 514

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

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 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 74, 387, 150, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 387, 150, 514 is 1.

Therefore, GCD of numbers 74, 387, 150, 514 is 1

Given Input Data is 74, 387, 150, 514

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 387 is 3 x 3 x 43

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

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(74, 387) = 28638

GCD(74, 387) = ( 74 x 387 ) / 28638

GCD(74, 387) = 28638 / 28638

GCD(74, 387) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 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 74, 387, 150, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 454, 995, 940
• GCD of 93, 333, 820, 686
• GCD of 83, 456, 780, 299
• GCD of 60, 603, 254, 935
• GCD of 65, 472, 685, 750

1. What is the GCD of 74, 387, 150, 514?

GCD of 74, 387, 150, 514 is 1

2. Where do I get the detailed procedure to find GCD of 74, 387, 150, 514?

You can find a detailed procedure to find GCD of 74, 387, 150, 514 on our page.

3. How to find GCD of 74, 387, 150, 514 on a calculator?

You can find the GCD of 74, 387, 150, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.