GCD of 527, 586, 42, 457 Calculator

Given Input numbers are 527, 586, 42, 457

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

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 586

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

1, 2, 293, 586

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 527, 586, 42, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 586, 42, 457 is 1.

Therefore, GCD of numbers 527, 586, 42, 457 is 1

Given Input Data is 527, 586, 42, 457

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

Prime Factorization of 527 is 17 x 31

Prime Factorization of 586 is 2 x 293

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 457 is 457

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(527, 586) = 308822

GCD(527, 586) = ( 527 x 586 ) / 308822

GCD(527, 586) = 308822 / 308822

GCD(527, 586) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 527, 586, 42, 457 is 1

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• GCD of 278, 454, 80, 777
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• GCD of 933, 133, 32, 972

1. What is the GCD of 527, 586, 42, 457?

GCD of 527, 586, 42, 457 is 1

2. Where do I get the detailed procedure to find GCD of 527, 586, 42, 457?

You can find a detailed procedure to find GCD of 527, 586, 42, 457 on our page.

3. How to find GCD of 527, 586, 42, 457 on a calculator?

You can find the GCD of 527, 586, 42, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.