GCD of 966, 952, 18, 855 Calculator

Given Input numbers are 966, 952, 18, 855

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 966, 952, 18, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 952, 18, 855 is 1.

Therefore, GCD of numbers 966, 952, 18, 855 is 1

Given Input Data is 966, 952, 18, 855

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 18 is 2 x 3 x 3

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(966, 952) = 65688

GCD(966, 952) = ( 966 x 952 ) / 65688

GCD(966, 952) = 919632 / 65688

GCD(966, 952) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 18

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

LCM(14, 18) = 126

GCD(14, 18) = ( 14 x 18 ) / 126

GCD(14, 18) = 252 / 126

GCD(14, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 855

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

LCM(2, 855) = 1710

GCD(2, 855) = ( 2 x 855 ) / 1710

GCD(2, 855) = 1710 / 1710

GCD(2, 855) = 1

GCD of 966, 952, 18, 855 is 1

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1. What is the GCD of 966, 952, 18, 855?

GCD of 966, 952, 18, 855 is 1

2. Where do I get the detailed procedure to find GCD of 966, 952, 18, 855?

You can find a detailed procedure to find GCD of 966, 952, 18, 855 on our page.

3. How to find GCD of 966, 952, 18, 855 on a calculator?

You can find the GCD of 966, 952, 18, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.