GCD of 693, 771, 40, 471 Calculator

Given Input numbers are 693, 771, 40, 471

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 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 693, 771, 40, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 771, 40, 471 is 1.

Therefore, GCD of numbers 693, 771, 40, 471 is 1

Given Input Data is 693, 771, 40, 471

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 771 is 3 x 257

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 471 is 3 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(693, 771) = 178101

GCD(693, 771) = ( 693 x 771 ) / 178101

GCD(693, 771) = 534303 / 178101

GCD(693, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 40

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

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

GCD(3, 40) = 120 / 120

GCD(3, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 693, 771, 40, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 738, 85, 420
• GCD of 381, 508, 44, 205
• GCD of 471, 418, 93, 860
• GCD of 267, 242, 49, 290
• GCD of 777, 877, 87, 517

1. What is the GCD of 693, 771, 40, 471?

GCD of 693, 771, 40, 471 is 1

2. Where do I get the detailed procedure to find GCD of 693, 771, 40, 471?

You can find a detailed procedure to find GCD of 693, 771, 40, 471 on our page.

3. How to find GCD of 693, 771, 40, 471 on a calculator?

You can find the GCD of 693, 771, 40, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.