GCD of 586, 120, 854, 642 Calculator

Given Input numbers are 586, 120, 854, 642

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

Divisors of 586

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

1, 2, 293, 586

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 586, 120, 854, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 120, 854, 642 is 2.

Therefore, GCD of numbers 586, 120, 854, 642 is 2

Given Input Data is 586, 120, 854, 642

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 642 is 2 x 3 x 107

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(586, 120) = 35160

GCD(586, 120) = ( 586 x 120 ) / 35160

GCD(586, 120) = 70320 / 35160

GCD(586, 120) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 854

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

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

GCD(2, 854) = 1708 / 854

GCD(2, 854) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 642

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

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

GCD(2, 642) = 1284 / 642

GCD(2, 642) = 2

GCD of 586, 120, 854, 642 is 2

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1. What is the GCD of 586, 120, 854, 642?

GCD of 586, 120, 854, 642 is 2

2. Where do I get the detailed procedure to find GCD of 586, 120, 854, 642?

You can find a detailed procedure to find GCD of 586, 120, 854, 642 on our page.

3. How to find GCD of 586, 120, 854, 642 on a calculator?

You can find the GCD of 586, 120, 854, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.