GCD of 150, 513, 814, 607 Calculator

Given Input numbers are 150, 513, 814, 607

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 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Greatest Common Divisior

We found the divisors of 150, 513, 814, 607 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 513, 814, 607 is 1.

Therefore, GCD of numbers 150, 513, 814, 607 is 1

Given Input Data is 150, 513, 814, 607

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 513 is 3 x 3 x 3 x 19

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 607 is 607

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, 513) = 25650

GCD(150, 513) = ( 150 x 513 ) / 25650

GCD(150, 513) = 76950 / 25650

GCD(150, 513) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 814

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

LCM(3, 814) = 2442

GCD(3, 814) = ( 3 x 814 ) / 2442

GCD(3, 814) = 2442 / 2442

GCD(3, 814) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 607

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

LCM(1, 607) = 607

GCD(1, 607) = ( 1 x 607 ) / 607

GCD(1, 607) = 607 / 607

GCD(1, 607) = 1

GCD of 150, 513, 814, 607 is 1

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• GCD of 713, 474, 894, 360
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• GCD of 683, 332, 968, 555

1. What is the GCD of 150, 513, 814, 607?

GCD of 150, 513, 814, 607 is 1

2. Where do I get the detailed procedure to find GCD of 150, 513, 814, 607?

You can find a detailed procedure to find GCD of 150, 513, 814, 607 on our page.

3. How to find GCD of 150, 513, 814, 607 on a calculator?

You can find the GCD of 150, 513, 814, 607 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.