GCD of 840, 300, 163, 222 Calculator

Given Input numbers are 840, 300, 163, 222

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Greatest Common Divisior

We found the divisors of 840, 300, 163, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 300, 163, 222 is 1.

Therefore, GCD of numbers 840, 300, 163, 222 is 1

Given Input Data is 840, 300, 163, 222

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 163 is 163

Prime Factorization of 222 is 2 x 3 x 37

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(840, 300) = 4200

GCD(840, 300) = ( 840 x 300 ) / 4200

GCD(840, 300) = 252000 / 4200

GCD(840, 300) = 60

Step2:

Here we consider the GCD from the above i.e. 60 as first number and the next as 163

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

LCM(60, 163) = 9780

GCD(60, 163) = ( 60 x 163 ) / 9780

GCD(60, 163) = 9780 / 9780

GCD(60, 163) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 222

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

LCM(1, 222) = 222

GCD(1, 222) = ( 1 x 222 ) / 222

GCD(1, 222) = 222 / 222

GCD(1, 222) = 1

GCD of 840, 300, 163, 222 is 1

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1. What is the GCD of 840, 300, 163, 222?

GCD of 840, 300, 163, 222 is 1

2. Where do I get the detailed procedure to find GCD of 840, 300, 163, 222?

You can find a detailed procedure to find GCD of 840, 300, 163, 222 on our page.

3. How to find GCD of 840, 300, 163, 222 on a calculator?

You can find the GCD of 840, 300, 163, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.