GCD of 354, 852, 57, 586 Calculator

Given Input numbers are 354, 852, 57, 586

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 586

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

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 354, 852, 57, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 852, 57, 586 is 1.

Therefore, GCD of numbers 354, 852, 57, 586 is 1

Given Input Data is 354, 852, 57, 586

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 57 is 3 x 19

Prime Factorization of 586 is 2 x 293

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(354, 852) = 50268

GCD(354, 852) = ( 354 x 852 ) / 50268

GCD(354, 852) = 301608 / 50268

GCD(354, 852) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 57

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

LCM(6, 57) = 114

GCD(6, 57) = ( 6 x 57 ) / 114

GCD(6, 57) = 342 / 114

GCD(6, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 586

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

LCM(3, 586) = 1758

GCD(3, 586) = ( 3 x 586 ) / 1758

GCD(3, 586) = 1758 / 1758

GCD(3, 586) = 1

GCD of 354, 852, 57, 586 is 1

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1. What is the GCD of 354, 852, 57, 586?

GCD of 354, 852, 57, 586 is 1

2. Where do I get the detailed procedure to find GCD of 354, 852, 57, 586?

You can find a detailed procedure to find GCD of 354, 852, 57, 586 on our page.

3. How to find GCD of 354, 852, 57, 586 on a calculator?

You can find the GCD of 354, 852, 57, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.