GCD of 699, 589, 100, 456 Calculator

Given Input numbers are 699, 589, 100, 456

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 699, 589, 100, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 589, 100, 456 is 1.

Therefore, GCD of numbers 699, 589, 100, 456 is 1

Given Input Data is 699, 589, 100, 456

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 589 is 19 x 31

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(699, 589) = 411711

GCD(699, 589) = ( 699 x 589 ) / 411711

GCD(699, 589) = 411711 / 411711

GCD(699, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 699, 589, 100, 456 is 1

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1. What is the GCD of 699, 589, 100, 456?

GCD of 699, 589, 100, 456 is 1

2. Where do I get the detailed procedure to find GCD of 699, 589, 100, 456?

You can find a detailed procedure to find GCD of 699, 589, 100, 456 on our page.

3. How to find GCD of 699, 589, 100, 456 on a calculator?

You can find the GCD of 699, 589, 100, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.