GCD of 100, 786, 144, 322 Calculator

Given Input numbers are 100, 786, 144, 322

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

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 322

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

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

Greatest Common Divisior

We found the divisors of 100, 786, 144, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 786, 144, 322 is 2.

Therefore, GCD of numbers 100, 786, 144, 322 is 2

Given Input Data is 100, 786, 144, 322

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

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 322 is 2 x 7 x 23

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(100, 786) = 39300

GCD(100, 786) = ( 100 x 786 ) / 39300

GCD(100, 786) = 78600 / 39300

GCD(100, 786) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 144

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

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

GCD(2, 144) = 288 / 144

GCD(2, 144) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 322

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

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

GCD(2, 322) = 644 / 322

GCD(2, 322) = 2

GCD of 100, 786, 144, 322 is 2

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1. What is the GCD of 100, 786, 144, 322?

GCD of 100, 786, 144, 322 is 2

2. Where do I get the detailed procedure to find GCD of 100, 786, 144, 322?

You can find a detailed procedure to find GCD of 100, 786, 144, 322 on our page.

3. How to find GCD of 100, 786, 144, 322 on a calculator?

You can find the GCD of 100, 786, 144, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.