GCD of 643, 963, 38, 686 Calculator

Given Input numbers are 643, 963, 38, 686

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 643, 963, 38, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 963, 38, 686 is 1.

Therefore, GCD of numbers 643, 963, 38, 686 is 1

Given Input Data is 643, 963, 38, 686

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

Prime Factorization of 643 is 643

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 38 is 2 x 19

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(643, 963) = 619209

GCD(643, 963) = ( 643 x 963 ) / 619209

GCD(643, 963) = 619209 / 619209

GCD(643, 963) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 643, 963, 38, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 329, 73, 472
• GCD of 852, 847, 98, 172
• GCD of 478, 141, 18, 155
• GCD of 963, 519, 49, 405
• GCD of 769, 813, 53, 173

1. What is the GCD of 643, 963, 38, 686?

GCD of 643, 963, 38, 686 is 1

2. Where do I get the detailed procedure to find GCD of 643, 963, 38, 686?

You can find a detailed procedure to find GCD of 643, 963, 38, 686 on our page.

3. How to find GCD of 643, 963, 38, 686 on a calculator?

You can find the GCD of 643, 963, 38, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.