GCD of 536, 108, 77, 855 Calculator

Given Input numbers are 536, 108, 77, 855

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

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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

Greatest Common Divisior

We found the divisors of 536, 108, 77, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 108, 77, 855 is 1.

Therefore, GCD of numbers 536, 108, 77, 855 is 1

Given Input Data is 536, 108, 77, 855

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

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 77 is 7 x 11

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

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(536, 108) = 14472

GCD(536, 108) = ( 536 x 108 ) / 14472

GCD(536, 108) = 57888 / 14472

GCD(536, 108) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 77

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

LCM(4, 77) = 308

GCD(4, 77) = ( 4 x 77 ) / 308

GCD(4, 77) = 308 / 308

GCD(4, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 855

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

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

GCD(1, 855) = 855 / 855

GCD(1, 855) = 1

GCD of 536, 108, 77, 855 is 1

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1. What is the GCD of 536, 108, 77, 855?

GCD of 536, 108, 77, 855 is 1

2. Where do I get the detailed procedure to find GCD of 536, 108, 77, 855?

You can find a detailed procedure to find GCD of 536, 108, 77, 855 on our page.

3. How to find GCD of 536, 108, 77, 855 on a calculator?

You can find the GCD of 536, 108, 77, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.