GCD of 642, 666, 20, 713 Calculator

Given Input numbers are 642, 666, 20, 713

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 642, 666, 20, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 666, 20, 713 is 1.

Therefore, GCD of numbers 642, 666, 20, 713 is 1

Given Input Data is 642, 666, 20, 713

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 713 is 23 x 31

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(642, 666) = 71262

GCD(642, 666) = ( 642 x 666 ) / 71262

GCD(642, 666) = 427572 / 71262

GCD(642, 666) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 20

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

LCM(6, 20) = 60

GCD(6, 20) = ( 6 x 20 ) / 60

GCD(6, 20) = 120 / 60

GCD(6, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 713

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

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

GCD(2, 713) = 1426 / 1426

GCD(2, 713) = 1

GCD of 642, 666, 20, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 966, 71, 639
• GCD of 478, 154, 23, 849
• GCD of 145, 922, 99, 665
• GCD of 914, 964, 87, 930
• GCD of 334, 813, 63, 509

1. What is the GCD of 642, 666, 20, 713?

GCD of 642, 666, 20, 713 is 1

2. Where do I get the detailed procedure to find GCD of 642, 666, 20, 713?

You can find a detailed procedure to find GCD of 642, 666, 20, 713 on our page.

3. How to find GCD of 642, 666, 20, 713 on a calculator?

You can find the GCD of 642, 666, 20, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.