GCD of 936, 270, 992, 617 Calculator

Given Input numbers are 936, 270, 992, 617

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

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 936, 270, 992, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 270, 992, 617 is 1.

Therefore, GCD of numbers 936, 270, 992, 617 is 1

Given Input Data is 936, 270, 992, 617

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

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 617 is 617

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(936, 270) = 14040

GCD(936, 270) = ( 936 x 270 ) / 14040

GCD(936, 270) = 252720 / 14040

GCD(936, 270) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 992

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

LCM(18, 992) = 8928

GCD(18, 992) = ( 18 x 992 ) / 8928

GCD(18, 992) = 17856 / 8928

GCD(18, 992) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 617

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

LCM(2, 617) = 1234

GCD(2, 617) = ( 2 x 617 ) / 1234

GCD(2, 617) = 1234 / 1234

GCD(2, 617) = 1

GCD of 936, 270, 992, 617 is 1

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1. What is the GCD of 936, 270, 992, 617?

GCD of 936, 270, 992, 617 is 1

2. Where do I get the detailed procedure to find GCD of 936, 270, 992, 617?

You can find a detailed procedure to find GCD of 936, 270, 992, 617 on our page.

3. How to find GCD of 936, 270, 992, 617 on a calculator?

You can find the GCD of 936, 270, 992, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.