GCD of 58, 366, 910, 206 Calculator

Given Input numbers are 58, 366, 910, 206

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

Divisors of 58

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

1, 2, 29, 58

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 58, 366, 910, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 366, 910, 206 is 2.

Therefore, GCD of numbers 58, 366, 910, 206 is 2

Given Input Data is 58, 366, 910, 206

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 206 is 2 x 103

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(58, 366) = 10614

GCD(58, 366) = ( 58 x 366 ) / 10614

GCD(58, 366) = 21228 / 10614

GCD(58, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 910

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

LCM(2, 910) = 910

GCD(2, 910) = ( 2 x 910 ) / 910

GCD(2, 910) = 1820 / 910

GCD(2, 910) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 206

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

LCM(2, 206) = 206

GCD(2, 206) = ( 2 x 206 ) / 206

GCD(2, 206) = 412 / 206

GCD(2, 206) = 2

GCD of 58, 366, 910, 206 is 2

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1. What is the GCD of 58, 366, 910, 206?

GCD of 58, 366, 910, 206 is 2

2. Where do I get the detailed procedure to find GCD of 58, 366, 910, 206?

You can find a detailed procedure to find GCD of 58, 366, 910, 206 on our page.

3. How to find GCD of 58, 366, 910, 206 on a calculator?

You can find the GCD of 58, 366, 910, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.