GCD of 855, 410, 652, 542 Calculator

Given Input numbers are 855, 410, 652, 542

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

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

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 855, 410, 652, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 410, 652, 542 is 1.

Therefore, GCD of numbers 855, 410, 652, 542 is 1

Given Input Data is 855, 410, 652, 542

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 652 is 2 x 2 x 163

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(855, 410) = 70110

GCD(855, 410) = ( 855 x 410 ) / 70110

GCD(855, 410) = 350550 / 70110

GCD(855, 410) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 652

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

LCM(5, 652) = 3260

GCD(5, 652) = ( 5 x 652 ) / 3260

GCD(5, 652) = 3260 / 3260

GCD(5, 652) = 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 855, 410, 652, 542 is 1

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1. What is the GCD of 855, 410, 652, 542?

GCD of 855, 410, 652, 542 is 1

2. Where do I get the detailed procedure to find GCD of 855, 410, 652, 542?

You can find a detailed procedure to find GCD of 855, 410, 652, 542 on our page.

3. How to find GCD of 855, 410, 652, 542 on a calculator?

You can find the GCD of 855, 410, 652, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.