GCD of 693, 954, 221 Calculator

Given Input numbers are 693, 954, 221

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 693, 954, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 954, 221 is 1.

Therefore, GCD of numbers 693, 954, 221 is 1

Given Input Data is 693, 954, 221

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 954 is 2 x 3 x 3 x 53

Prime Factorization of 221 is 13 x 17

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, 954) = 73458

GCD(693, 954) = ( 693 x 954 ) / 73458

GCD(693, 954) = 661122 / 73458

GCD(693, 954) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 221

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

LCM(9, 221) = 1989

GCD(9, 221) = ( 9 x 221 ) / 1989

GCD(9, 221) = 1989 / 1989

GCD(9, 221) = 1

GCD of 693, 954, 221 is 1

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1. What is the GCD of 693, 954, 221?

GCD of 693, 954, 221 is 1

2. Where do I get the detailed procedure to find GCD of 693, 954, 221?

You can find a detailed procedure to find GCD of 693, 954, 221 on our page.

3. How to find GCD of 693, 954, 221 on a calculator?

You can find the GCD of 693, 954, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.