GCD of 213, 778, 99, 693 Calculator

Given Input numbers are 213, 778, 99, 693

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 213, 778, 99, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 778, 99, 693 is 1.

Therefore, GCD of numbers 213, 778, 99, 693 is 1

Given Input Data is 213, 778, 99, 693

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 778 is 2 x 389

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 693 is 3 x 3 x 7 x 11

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(213, 778) = 165714

GCD(213, 778) = ( 213 x 778 ) / 165714

GCD(213, 778) = 165714 / 165714

GCD(213, 778) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 213, 778, 99, 693 is 1

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1. What is the GCD of 213, 778, 99, 693?

GCD of 213, 778, 99, 693 is 1

2. Where do I get the detailed procedure to find GCD of 213, 778, 99, 693?

You can find a detailed procedure to find GCD of 213, 778, 99, 693 on our page.

3. How to find GCD of 213, 778, 99, 693 on a calculator?

You can find the GCD of 213, 778, 99, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.