GCD of 214, 588, 99, 785 Calculator

Given Input numbers are 214, 588, 99, 785

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

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 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 214, 588, 99, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 588, 99, 785 is 1.

Therefore, GCD of numbers 214, 588, 99, 785 is 1

Given Input Data is 214, 588, 99, 785

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

Prime Factorization of 214 is 2 x 107

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 785 is 5 x 157

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(214, 588) = 62916

GCD(214, 588) = ( 214 x 588 ) / 62916

GCD(214, 588) = 125832 / 62916

GCD(214, 588) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

GCD of 214, 588, 99, 785 is 1

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1. What is the GCD of 214, 588, 99, 785?

GCD of 214, 588, 99, 785 is 1

2. Where do I get the detailed procedure to find GCD of 214, 588, 99, 785?

You can find a detailed procedure to find GCD of 214, 588, 99, 785 on our page.

3. How to find GCD of 214, 588, 99, 785 on a calculator?

You can find the GCD of 214, 588, 99, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.