GCD of 966, 105, 55, 212 Calculator

Given Input numbers are 966, 105, 55, 212

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 966, 105, 55, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 105, 55, 212 is 1.

Therefore, GCD of numbers 966, 105, 55, 212 is 1

Given Input Data is 966, 105, 55, 212

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 105 is 3 x 5 x 7

Prime Factorization of 55 is 5 x 11

Prime Factorization of 212 is 2 x 2 x 53

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, 105) = 4830

GCD(966, 105) = ( 966 x 105 ) / 4830

GCD(966, 105) = 101430 / 4830

GCD(966, 105) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 55

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

LCM(21, 55) = 1155

GCD(21, 55) = ( 21 x 55 ) / 1155

GCD(21, 55) = 1155 / 1155

GCD(21, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

GCD of 966, 105, 55, 212 is 1

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1. What is the GCD of 966, 105, 55, 212?

GCD of 966, 105, 55, 212 is 1

2. Where do I get the detailed procedure to find GCD of 966, 105, 55, 212?

You can find a detailed procedure to find GCD of 966, 105, 55, 212 on our page.

3. How to find GCD of 966, 105, 55, 212 on a calculator?

You can find the GCD of 966, 105, 55, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.