GCD of 966, 322, 118, 588 Calculator

Given Input numbers are 966, 322, 118, 588

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 966, 322, 118, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 322, 118, 588 is 2.

Therefore, GCD of numbers 966, 322, 118, 588 is 2

Given Input Data is 966, 322, 118, 588

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 322 is 2 x 7 x 23

Prime Factorization of 118 is 2 x 59

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 322) = 966

GCD(966, 322) = ( 966 x 322 ) / 966

GCD(966, 322) = 311052 / 966

GCD(966, 322) = 322

Step2:

Here we consider the GCD from the above i.e. 322 as first number and the next as 118

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

LCM(322, 118) = 18998

GCD(322, 118) = ( 322 x 118 ) / 18998

GCD(322, 118) = 37996 / 18998

GCD(322, 118) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 588

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

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

GCD(2, 588) = 1176 / 588

GCD(2, 588) = 2

GCD of 966, 322, 118, 588 is 2

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1. What is the GCD of 966, 322, 118, 588?

GCD of 966, 322, 118, 588 is 2

2. Where do I get the detailed procedure to find GCD of 966, 322, 118, 588?

You can find a detailed procedure to find GCD of 966, 322, 118, 588 on our page.

3. How to find GCD of 966, 322, 118, 588 on a calculator?

You can find the GCD of 966, 322, 118, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.