GCD of 358, 866, 72, 628 Calculator

Given Input numbers are 358, 866, 72, 628

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 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 358, 866, 72, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 866, 72, 628 is 2.

Therefore, GCD of numbers 358, 866, 72, 628 is 2

Given Input Data is 358, 866, 72, 628

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 866 is 2 x 433

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 628 is 2 x 2 x 157

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(358, 866) = 155014

GCD(358, 866) = ( 358 x 866 ) / 155014

GCD(358, 866) = 310028 / 155014

GCD(358, 866) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 628

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

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

GCD(2, 628) = 1256 / 628

GCD(2, 628) = 2

GCD of 358, 866, 72, 628 is 2

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1. What is the GCD of 358, 866, 72, 628?

GCD of 358, 866, 72, 628 is 2

2. Where do I get the detailed procedure to find GCD of 358, 866, 72, 628?

You can find a detailed procedure to find GCD of 358, 866, 72, 628 on our page.

3. How to find GCD of 358, 866, 72, 628 on a calculator?

You can find the GCD of 358, 866, 72, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.