GCD of 12, 864, 662, 100 Calculator

Given Input numbers are 12, 864, 662, 100

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 12, 864, 662, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 864, 662, 100 is 2.

Therefore, GCD of numbers 12, 864, 662, 100 is 2

Given Input Data is 12, 864, 662, 100

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 662 is 2 x 331

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(12, 864) = 864

GCD(12, 864) = ( 12 x 864 ) / 864

GCD(12, 864) = 10368 / 864

GCD(12, 864) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 662

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

LCM(12, 662) = 3972

GCD(12, 662) = ( 12 x 662 ) / 3972

GCD(12, 662) = 7944 / 3972

GCD(12, 662) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

GCD of 12, 864, 662, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 613, 596, 681
• GCD of 50, 586, 280, 198
• GCD of 69, 817, 148, 631
• GCD of 98, 792, 267, 516
• GCD of 73, 165, 844, 106

1. What is the GCD of 12, 864, 662, 100?

GCD of 12, 864, 662, 100 is 2

2. Where do I get the detailed procedure to find GCD of 12, 864, 662, 100?

You can find a detailed procedure to find GCD of 12, 864, 662, 100 on our page.

3. How to find GCD of 12, 864, 662, 100 on a calculator?

You can find the GCD of 12, 864, 662, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.