GCD of 693, 669, 505, 782 Calculator

Given Input numbers are 693, 669, 505, 782

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 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 693, 669, 505, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 669, 505, 782 is 1.

Therefore, GCD of numbers 693, 669, 505, 782 is 1

Given Input Data is 693, 669, 505, 782

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 669 is 3 x 223

Prime Factorization of 505 is 5 x 101

Prime Factorization of 782 is 2 x 17 x 23

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, 669) = 154539

GCD(693, 669) = ( 693 x 669 ) / 154539

GCD(693, 669) = 463617 / 154539

GCD(693, 669) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 505

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

LCM(3, 505) = 1515

GCD(3, 505) = ( 3 x 505 ) / 1515

GCD(3, 505) = 1515 / 1515

GCD(3, 505) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 693, 669, 505, 782 is 1

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1. What is the GCD of 693, 669, 505, 782?

GCD of 693, 669, 505, 782 is 1

2. Where do I get the detailed procedure to find GCD of 693, 669, 505, 782?

You can find a detailed procedure to find GCD of 693, 669, 505, 782 on our page.

3. How to find GCD of 693, 669, 505, 782 on a calculator?

You can find the GCD of 693, 669, 505, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.