GCD of 530, 665, 905, 150 Calculator

Given Input numbers are 530, 665, 905, 150

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

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

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

Greatest Common Divisior

We found the divisors of 530, 665, 905, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 665, 905, 150 is 5.

Therefore, GCD of numbers 530, 665, 905, 150 is 5

Given Input Data is 530, 665, 905, 150

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

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 905 is 5 x 181

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

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(530, 665) = 70490

GCD(530, 665) = ( 530 x 665 ) / 70490

GCD(530, 665) = 352450 / 70490

GCD(530, 665) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 905

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

LCM(5, 905) = 905

GCD(5, 905) = ( 5 x 905 ) / 905

GCD(5, 905) = 4525 / 905

GCD(5, 905) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 150

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

LCM(5, 150) = 150

GCD(5, 150) = ( 5 x 150 ) / 150

GCD(5, 150) = 750 / 150

GCD(5, 150) = 5

GCD of 530, 665, 905, 150 is 5

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• GCD of 807, 108, 328, 771
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• GCD of 718, 515, 455, 143

1. What is the GCD of 530, 665, 905, 150?

GCD of 530, 665, 905, 150 is 5

2. Where do I get the detailed procedure to find GCD of 530, 665, 905, 150?

You can find a detailed procedure to find GCD of 530, 665, 905, 150 on our page.

3. How to find GCD of 530, 665, 905, 150 on a calculator?

You can find the GCD of 530, 665, 905, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.