GCD of 730, 864, 58, 222 Calculator

Given Input numbers are 730, 864, 58, 222

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 58

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

1, 2, 29, 58

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Greatest Common Divisior

We found the divisors of 730, 864, 58, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 864, 58, 222 is 2.

Therefore, GCD of numbers 730, 864, 58, 222 is 2

Given Input Data is 730, 864, 58, 222

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 58 is 2 x 29

Prime Factorization of 222 is 2 x 3 x 37

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(730, 864) = 315360

GCD(730, 864) = ( 730 x 864 ) / 315360

GCD(730, 864) = 630720 / 315360

GCD(730, 864) = 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 222

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

LCM(2, 222) = 222

GCD(2, 222) = ( 2 x 222 ) / 222

GCD(2, 222) = 444 / 222

GCD(2, 222) = 2

GCD of 730, 864, 58, 222 is 2

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• GCD of 248, 402, 38, 795
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1. What is the GCD of 730, 864, 58, 222?

GCD of 730, 864, 58, 222 is 2

2. Where do I get the detailed procedure to find GCD of 730, 864, 58, 222?

You can find a detailed procedure to find GCD of 730, 864, 58, 222 on our page.

3. How to find GCD of 730, 864, 58, 222 on a calculator?

You can find the GCD of 730, 864, 58, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.