GCD of 111, 966, 84, 357 Calculator

Given Input numbers are 111, 966, 84, 357

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

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 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 111, 966, 84, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 966, 84, 357 is 3.

Therefore, GCD of numbers 111, 966, 84, 357 is 3

Given Input Data is 111, 966, 84, 357

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

Prime Factorization of 111 is 3 x 37

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 357 is 3 x 7 x 17

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(111, 966) = 35742

GCD(111, 966) = ( 111 x 966 ) / 35742

GCD(111, 966) = 107226 / 35742

GCD(111, 966) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 84

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

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

GCD(3, 84) = 252 / 84

GCD(3, 84) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 357

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

LCM(3, 357) = 357

GCD(3, 357) = ( 3 x 357 ) / 357

GCD(3, 357) = 1071 / 357

GCD(3, 357) = 3

GCD of 111, 966, 84, 357 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 387, 11, 589
• GCD of 698, 748, 95, 496
• GCD of 127, 995, 34, 229
• GCD of 725, 966, 78, 703
• GCD of 252, 429, 22, 568

1. What is the GCD of 111, 966, 84, 357?

GCD of 111, 966, 84, 357 is 3

2. Where do I get the detailed procedure to find GCD of 111, 966, 84, 357?

You can find a detailed procedure to find GCD of 111, 966, 84, 357 on our page.

3. How to find GCD of 111, 966, 84, 357 on a calculator?

You can find the GCD of 111, 966, 84, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.