GCD of 386, 200, 58, 364 Calculator

Given Input numbers are 386, 200, 58, 364

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

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 386, 200, 58, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 386, 200, 58, 364 is 2.

Therefore, GCD of numbers 386, 200, 58, 364 is 2

Given Input Data is 386, 200, 58, 364

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

Prime Factorization of 386 is 2 x 193

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 58 is 2 x 29

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(386, 200) = 38600

GCD(386, 200) = ( 386 x 200 ) / 38600

GCD(386, 200) = 77200 / 38600

GCD(386, 200) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 364

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

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

GCD(2, 364) = 728 / 364

GCD(2, 364) = 2

GCD of 386, 200, 58, 364 is 2

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1. What is the GCD of 386, 200, 58, 364?

GCD of 386, 200, 58, 364 is 2

2. Where do I get the detailed procedure to find GCD of 386, 200, 58, 364?

You can find a detailed procedure to find GCD of 386, 200, 58, 364 on our page.

3. How to find GCD of 386, 200, 58, 364 on a calculator?

You can find the GCD of 386, 200, 58, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.