GCD of 84, 465, 212, 963 Calculator

Given Input numbers are 84, 465, 212, 963

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

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 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 212

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

1, 2, 4, 53, 106, 212

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 84, 465, 212, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 465, 212, 963 is 1.

Therefore, GCD of numbers 84, 465, 212, 963 is 1

Given Input Data is 84, 465, 212, 963

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

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 963 is 3 x 3 x 107

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(84, 465) = 13020

GCD(84, 465) = ( 84 x 465 ) / 13020

GCD(84, 465) = 39060 / 13020

GCD(84, 465) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 212

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

LCM(3, 212) = 636

GCD(3, 212) = ( 3 x 212 ) / 636

GCD(3, 212) = 636 / 636

GCD(3, 212) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

GCD of 84, 465, 212, 963 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 359, 740, 168
• GCD of 84, 475, 500, 921
• GCD of 27, 289, 123, 763
• GCD of 43, 788, 346, 790
• GCD of 40, 956, 304, 313

1. What is the GCD of 84, 465, 212, 963?

GCD of 84, 465, 212, 963 is 1

2. Where do I get the detailed procedure to find GCD of 84, 465, 212, 963?

You can find a detailed procedure to find GCD of 84, 465, 212, 963 on our page.

3. How to find GCD of 84, 465, 212, 963 on a calculator?

You can find the GCD of 84, 465, 212, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.