GCD of 692, 473, 21, 777 Calculator

Given Input numbers are 692, 473, 21, 777

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Greatest Common Divisior

We found the divisors of 692, 473, 21, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 473, 21, 777 is 1.

Therefore, GCD of numbers 692, 473, 21, 777 is 1

Given Input Data is 692, 473, 21, 777

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 473 is 11 x 43

Prime Factorization of 21 is 3 x 7

Prime Factorization of 777 is 3 x 7 x 37

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(692, 473) = 327316

GCD(692, 473) = ( 692 x 473 ) / 327316

GCD(692, 473) = 327316 / 327316

GCD(692, 473) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 777

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

LCM(1, 777) = 777

GCD(1, 777) = ( 1 x 777 ) / 777

GCD(1, 777) = 777 / 777

GCD(1, 777) = 1

GCD of 692, 473, 21, 777 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 185, 14, 977
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• GCD of 858, 409, 11, 697
• GCD of 349, 821, 50, 344
• GCD of 816, 193, 14, 624

1. What is the GCD of 692, 473, 21, 777?

GCD of 692, 473, 21, 777 is 1

2. Where do I get the detailed procedure to find GCD of 692, 473, 21, 777?

You can find a detailed procedure to find GCD of 692, 473, 21, 777 on our page.

3. How to find GCD of 692, 473, 21, 777 on a calculator?

You can find the GCD of 692, 473, 21, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.