GCD of 642, 716, 825, 542 Calculator

Given Input numbers are 642, 716, 825, 542

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 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 642, 716, 825, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 716, 825, 542 is 1.

Therefore, GCD of numbers 642, 716, 825, 542 is 1

Given Input Data is 642, 716, 825, 542

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 716 is 2 x 2 x 179

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 542 is 2 x 271

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, 716) = 229836

GCD(642, 716) = ( 642 x 716 ) / 229836

GCD(642, 716) = 459672 / 229836

GCD(642, 716) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 642, 716, 825, 542 is 1

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1. What is the GCD of 642, 716, 825, 542?

GCD of 642, 716, 825, 542 is 1

2. Where do I get the detailed procedure to find GCD of 642, 716, 825, 542?

You can find a detailed procedure to find GCD of 642, 716, 825, 542 on our page.

3. How to find GCD of 642, 716, 825, 542 on a calculator?

You can find the GCD of 642, 716, 825, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.