GCD of 642, 999, 781, 807 Calculator

Given Input numbers are 642, 999, 781, 807

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 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 642, 999, 781, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 999, 781, 807 is 1.

Therefore, GCD of numbers 642, 999, 781, 807 is 1

Given Input Data is 642, 999, 781, 807

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 999 is 3 x 3 x 3 x 37

Prime Factorization of 781 is 11 x 71

Prime Factorization of 807 is 3 x 269

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, 999) = 213786

GCD(642, 999) = ( 642 x 999 ) / 213786

GCD(642, 999) = 641358 / 213786

GCD(642, 999) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 781

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

LCM(3, 781) = 2343

GCD(3, 781) = ( 3 x 781 ) / 2343

GCD(3, 781) = 2343 / 2343

GCD(3, 781) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

GCD of 642, 999, 781, 807 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 984, 423, 155
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• GCD of 437, 150, 551, 712
• GCD of 520, 986, 764, 147
• GCD of 385, 317, 590, 985

1. What is the GCD of 642, 999, 781, 807?

GCD of 642, 999, 781, 807 is 1

2. Where do I get the detailed procedure to find GCD of 642, 999, 781, 807?

You can find a detailed procedure to find GCD of 642, 999, 781, 807 on our page.

3. How to find GCD of 642, 999, 781, 807 on a calculator?

You can find the GCD of 642, 999, 781, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.