GCD of 420, 222, 20, 764 Calculator

Given Input numbers are 420, 222, 20, 764

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 222

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

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 420, 222, 20, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 222, 20, 764 is 2.

Therefore, GCD of numbers 420, 222, 20, 764 is 2

Given Input Data is 420, 222, 20, 764

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 764 is 2 x 2 x 191

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(420, 222) = 15540

GCD(420, 222) = ( 420 x 222 ) / 15540

GCD(420, 222) = 93240 / 15540

GCD(420, 222) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 20

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

LCM(6, 20) = 60

GCD(6, 20) = ( 6 x 20 ) / 60

GCD(6, 20) = 120 / 60

GCD(6, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 764

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

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

GCD(2, 764) = 1528 / 764

GCD(2, 764) = 2

GCD of 420, 222, 20, 764 is 2

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• GCD of 772, 970, 33, 663
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• GCD of 232, 338, 26, 805

1. What is the GCD of 420, 222, 20, 764?

GCD of 420, 222, 20, 764 is 2

2. Where do I get the detailed procedure to find GCD of 420, 222, 20, 764?

You can find a detailed procedure to find GCD of 420, 222, 20, 764 on our page.

3. How to find GCD of 420, 222, 20, 764 on a calculator?

You can find the GCD of 420, 222, 20, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.