GCD of 693, 917, 213 Calculator

Given Input numbers are 693, 917, 213

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

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 213

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

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 693, 917, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 917, 213 is 1.

Therefore, GCD of numbers 693, 917, 213 is 1

Given Input Data is 693, 917, 213

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

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 213 is 3 x 71

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(693, 917) = 90783

GCD(693, 917) = ( 693 x 917 ) / 90783

GCD(693, 917) = 635481 / 90783

GCD(693, 917) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 213

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

LCM(7, 213) = 1491

GCD(7, 213) = ( 7 x 213 ) / 1491

GCD(7, 213) = 1491 / 1491

GCD(7, 213) = 1

GCD of 693, 917, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 767, 635
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1. What is the GCD of 693, 917, 213?

GCD of 693, 917, 213 is 1

2. Where do I get the detailed procedure to find GCD of 693, 917, 213?

You can find a detailed procedure to find GCD of 693, 917, 213 on our page.

3. How to find GCD of 693, 917, 213 on a calculator?

You can find the GCD of 693, 917, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.