GCD of 30, 291, 530, 374 Calculator

Given Input numbers are 30, 291, 530, 374

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

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 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 30, 291, 530, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 291, 530, 374 is 1.

Therefore, GCD of numbers 30, 291, 530, 374 is 1

Given Input Data is 30, 291, 530, 374

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 291 is 3 x 97

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 374 is 2 x 11 x 17

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(30, 291) = 2910

GCD(30, 291) = ( 30 x 291 ) / 2910

GCD(30, 291) = 8730 / 2910

GCD(30, 291) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 530

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

LCM(3, 530) = 1590

GCD(3, 530) = ( 3 x 530 ) / 1590

GCD(3, 530) = 1590 / 1590

GCD(3, 530) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 30, 291, 530, 374 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 359, 605, 578
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• GCD of 30, 164, 473, 805

1. What is the GCD of 30, 291, 530, 374?

GCD of 30, 291, 530, 374 is 1

2. Where do I get the detailed procedure to find GCD of 30, 291, 530, 374?

You can find a detailed procedure to find GCD of 30, 291, 530, 374 on our page.

3. How to find GCD of 30, 291, 530, 374 on a calculator?

You can find the GCD of 30, 291, 530, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.