GCD of 133, 586, 730, 974 Calculator

Given Input numbers are 133, 586, 730, 974

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

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 133, 586, 730, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 586, 730, 974 is 1.

Therefore, GCD of numbers 133, 586, 730, 974 is 1

Given Input Data is 133, 586, 730, 974

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 586 is 2 x 293

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 974 is 2 x 487

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(133, 586) = 77938

GCD(133, 586) = ( 133 x 586 ) / 77938

GCD(133, 586) = 77938 / 77938

GCD(133, 586) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 133, 586, 730, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 496, 843, 586
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• GCD of 354, 334, 207, 271

1. What is the GCD of 133, 586, 730, 974?

GCD of 133, 586, 730, 974 is 1

2. Where do I get the detailed procedure to find GCD of 133, 586, 730, 974?

You can find a detailed procedure to find GCD of 133, 586, 730, 974 on our page.

3. How to find GCD of 133, 586, 730, 974 on a calculator?

You can find the GCD of 133, 586, 730, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.