GCD of 682, 643, 45, 511 Calculator

Given Input numbers are 682, 643, 45, 511

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 643

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

1, 643

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Greatest Common Divisior

We found the divisors of 682, 643, 45, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 643, 45, 511 is 1.

Therefore, GCD of numbers 682, 643, 45, 511 is 1

Given Input Data is 682, 643, 45, 511

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 643 is 643

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 511 is 7 x 73

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(682, 643) = 438526

GCD(682, 643) = ( 682 x 643 ) / 438526

GCD(682, 643) = 438526 / 438526

GCD(682, 643) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 511

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

LCM(1, 511) = 511

GCD(1, 511) = ( 1 x 511 ) / 511

GCD(1, 511) = 511 / 511

GCD(1, 511) = 1

GCD of 682, 643, 45, 511 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 827, 29, 902
• GCD of 554, 451, 22, 886
• GCD of 260, 901, 59, 332
• GCD of 440, 738, 66, 612
• GCD of 157, 378, 63, 189

1. What is the GCD of 682, 643, 45, 511?

GCD of 682, 643, 45, 511 is 1

2. Where do I get the detailed procedure to find GCD of 682, 643, 45, 511?

You can find a detailed procedure to find GCD of 682, 643, 45, 511 on our page.

3. How to find GCD of 682, 643, 45, 511 on a calculator?

You can find the GCD of 682, 643, 45, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.