GCD of 358, 420, 833, 586 Calculator

Given Input numbers are 358, 420, 833, 586

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

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 833

List of positive integer divisors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

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 358, 420, 833, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 420, 833, 586 is 1.

Therefore, GCD of numbers 358, 420, 833, 586 is 1

Given Input Data is 358, 420, 833, 586

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 833 is 7 x 7 x 17

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(358, 420) = 75180

GCD(358, 420) = ( 358 x 420 ) / 75180

GCD(358, 420) = 150360 / 75180

GCD(358, 420) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 833

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

LCM(2, 833) = 1666

GCD(2, 833) = ( 2 x 833 ) / 1666

GCD(2, 833) = 1666 / 1666

GCD(2, 833) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 358, 420, 833, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 983, 346, 629
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• GCD of 310, 631, 237, 835
• GCD of 414, 658, 648, 283

1. What is the GCD of 358, 420, 833, 586?

GCD of 358, 420, 833, 586 is 1

2. Where do I get the detailed procedure to find GCD of 358, 420, 833, 586?

You can find a detailed procedure to find GCD of 358, 420, 833, 586 on our page.

3. How to find GCD of 358, 420, 833, 586 on a calculator?

You can find the GCD of 358, 420, 833, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.