GCD of 708, 458, 533, 219 Calculator

Given Input numbers are 708, 458, 533, 219

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 219

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

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 708, 458, 533, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 458, 533, 219 is 1.

Therefore, GCD of numbers 708, 458, 533, 219 is 1

Given Input Data is 708, 458, 533, 219

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 458 is 2 x 229

Prime Factorization of 533 is 13 x 41

Prime Factorization of 219 is 3 x 73

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(708, 458) = 162132

GCD(708, 458) = ( 708 x 458 ) / 162132

GCD(708, 458) = 324264 / 162132

GCD(708, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 533

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

LCM(2, 533) = 1066

GCD(2, 533) = ( 2 x 533 ) / 1066

GCD(2, 533) = 1066 / 1066

GCD(2, 533) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 219

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

LCM(1, 219) = 219

GCD(1, 219) = ( 1 x 219 ) / 219

GCD(1, 219) = 219 / 219

GCD(1, 219) = 1

GCD of 708, 458, 533, 219 is 1

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1. What is the GCD of 708, 458, 533, 219?

GCD of 708, 458, 533, 219 is 1

2. Where do I get the detailed procedure to find GCD of 708, 458, 533, 219?

You can find a detailed procedure to find GCD of 708, 458, 533, 219 on our page.

3. How to find GCD of 708, 458, 533, 219 on a calculator?

You can find the GCD of 708, 458, 533, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.