GCD of 689, 682, 643, 463 Calculator

Given Input numbers are 689, 682, 643, 463

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

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 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 689, 682, 643, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 682, 643, 463 is 1.

Therefore, GCD of numbers 689, 682, 643, 463 is 1

Given Input Data is 689, 682, 643, 463

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 643 is 643

Prime Factorization of 463 is 463

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(689, 682) = 469898

GCD(689, 682) = ( 689 x 682 ) / 469898

GCD(689, 682) = 469898 / 469898

GCD(689, 682) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 463

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

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

GCD(1, 463) = 463 / 463

GCD(1, 463) = 1

GCD of 689, 682, 643, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 753, 504, 777
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• GCD of 305, 477, 384, 969
• GCD of 441, 484, 999, 307
• GCD of 982, 807, 977, 309

1. What is the GCD of 689, 682, 643, 463?

GCD of 689, 682, 643, 463 is 1

2. Where do I get the detailed procedure to find GCD of 689, 682, 643, 463?

You can find a detailed procedure to find GCD of 689, 682, 643, 463 on our page.

3. How to find GCD of 689, 682, 643, 463 on a calculator?

You can find the GCD of 689, 682, 643, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.