GCD of 821, 322, 120, 100 Calculator

Given Input numbers are 821, 322, 120, 100

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 821, 322, 120, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 322, 120, 100 is 1.

Therefore, GCD of numbers 821, 322, 120, 100 is 1

Given Input Data is 821, 322, 120, 100

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

Prime Factorization of 821 is 821

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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

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(821, 322) = 264362

GCD(821, 322) = ( 821 x 322 ) / 264362

GCD(821, 322) = 264362 / 264362

GCD(821, 322) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 821, 322, 120, 100 is 1

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1. What is the GCD of 821, 322, 120, 100?

GCD of 821, 322, 120, 100 is 1

2. Where do I get the detailed procedure to find GCD of 821, 322, 120, 100?

You can find a detailed procedure to find GCD of 821, 322, 120, 100 on our page.

3. How to find GCD of 821, 322, 120, 100 on a calculator?

You can find the GCD of 821, 322, 120, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.