GCD of 786, 288, 143, 538 Calculator

Given Input numbers are 786, 288, 143, 538

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

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 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 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 786, 288, 143, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 288, 143, 538 is 1.

Therefore, GCD of numbers 786, 288, 143, 538 is 1

Given Input Data is 786, 288, 143, 538

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

Prime Factorization of 786 is 2 x 3 x 131

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

Prime Factorization of 143 is 11 x 13

Prime Factorization of 538 is 2 x 269

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(786, 288) = 37728

GCD(786, 288) = ( 786 x 288 ) / 37728

GCD(786, 288) = 226368 / 37728

GCD(786, 288) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 143

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

LCM(6, 143) = 858

GCD(6, 143) = ( 6 x 143 ) / 858

GCD(6, 143) = 858 / 858

GCD(6, 143) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 786, 288, 143, 538 is 1

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1. What is the GCD of 786, 288, 143, 538?

GCD of 786, 288, 143, 538 is 1

2. Where do I get the detailed procedure to find GCD of 786, 288, 143, 538?

You can find a detailed procedure to find GCD of 786, 288, 143, 538 on our page.

3. How to find GCD of 786, 288, 143, 538 on a calculator?

You can find the GCD of 786, 288, 143, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.