GCD of 219, 728, 698, 124 Calculator

Given Input numbers are 219, 728, 698, 124

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

Divisors of 219

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

1, 3, 73, 219

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Greatest Common Divisior

We found the divisors of 219, 728, 698, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 728, 698, 124 is 1.

Therefore, GCD of numbers 219, 728, 698, 124 is 1

Given Input Data is 219, 728, 698, 124

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 698 is 2 x 349

Prime Factorization of 124 is 2 x 2 x 31

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(219, 728) = 159432

GCD(219, 728) = ( 219 x 728 ) / 159432

GCD(219, 728) = 159432 / 159432

GCD(219, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 124

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

LCM(1, 124) = 124

GCD(1, 124) = ( 1 x 124 ) / 124

GCD(1, 124) = 124 / 124

GCD(1, 124) = 1

GCD of 219, 728, 698, 124 is 1

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1. What is the GCD of 219, 728, 698, 124?

GCD of 219, 728, 698, 124 is 1

2. Where do I get the detailed procedure to find GCD of 219, 728, 698, 124?

You can find a detailed procedure to find GCD of 219, 728, 698, 124 on our page.

3. How to find GCD of 219, 728, 698, 124 on a calculator?

You can find the GCD of 219, 728, 698, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.