GCD of 466, 219, 588, 738 Calculator

Given Input numbers are 466, 219, 588, 738

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 466, 219, 588, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 219, 588, 738 is 1.

Therefore, GCD of numbers 466, 219, 588, 738 is 1

Given Input Data is 466, 219, 588, 738

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 219 is 3 x 73

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 738 is 2 x 3 x 3 x 41

The above numbers do not have any common prime factor. So GCD is 1

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(466, 219) = 102054

GCD(466, 219) = ( 466 x 219 ) / 102054

GCD(466, 219) = 102054 / 102054

GCD(466, 219) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 466, 219, 588, 738 is 1

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1. What is the GCD of 466, 219, 588, 738?

GCD of 466, 219, 588, 738 is 1

2. Where do I get the detailed procedure to find GCD of 466, 219, 588, 738?

You can find a detailed procedure to find GCD of 466, 219, 588, 738 on our page.

3. How to find GCD of 466, 219, 588, 738 on a calculator?

You can find the GCD of 466, 219, 588, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.