GCD of 420, 766, 288, 789 Calculator

Given Input numbers are 420, 766, 288, 789

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 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 420, 766, 288, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 766, 288, 789 is 1.

Therefore, GCD of numbers 420, 766, 288, 789 is 1

Given Input Data is 420, 766, 288, 789

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 766 is 2 x 383

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 789 is 3 x 263

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(420, 766) = 160860

GCD(420, 766) = ( 420 x 766 ) / 160860

GCD(420, 766) = 321720 / 160860

GCD(420, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 288

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

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

GCD(2, 288) = 576 / 288

GCD(2, 288) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 789

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

LCM(2, 789) = 1578

GCD(2, 789) = ( 2 x 789 ) / 1578

GCD(2, 789) = 1578 / 1578

GCD(2, 789) = 1

GCD of 420, 766, 288, 789 is 1

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1. What is the GCD of 420, 766, 288, 789?

GCD of 420, 766, 288, 789 is 1

2. Where do I get the detailed procedure to find GCD of 420, 766, 288, 789?

You can find a detailed procedure to find GCD of 420, 766, 288, 789 on our page.

3. How to find GCD of 420, 766, 288, 789 on a calculator?

You can find the GCD of 420, 766, 288, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.