GCD of 642, 538, 785, 909 Calculator

Given Input numbers are 642, 538, 785, 909

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 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 642, 538, 785, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 538, 785, 909 is 1.

Therefore, GCD of numbers 642, 538, 785, 909 is 1

Given Input Data is 642, 538, 785, 909

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 538 is 2 x 269

Prime Factorization of 785 is 5 x 157

Prime Factorization of 909 is 3 x 3 x 101

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, 538) = 172698

GCD(642, 538) = ( 642 x 538 ) / 172698

GCD(642, 538) = 345396 / 172698

GCD(642, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 785

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

LCM(2, 785) = 1570

GCD(2, 785) = ( 2 x 785 ) / 1570

GCD(2, 785) = 1570 / 1570

GCD(2, 785) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 642, 538, 785, 909 is 1

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1. What is the GCD of 642, 538, 785, 909?

GCD of 642, 538, 785, 909 is 1

2. Where do I get the detailed procedure to find GCD of 642, 538, 785, 909?

You can find a detailed procedure to find GCD of 642, 538, 785, 909 on our page.

3. How to find GCD of 642, 538, 785, 909 on a calculator?

You can find the GCD of 642, 538, 785, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.