GCD of 144, 525, 849, 788 Calculator

Given Input numbers are 144, 525, 849, 788

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 144, 525, 849, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 525, 849, 788 is 1.

Therefore, GCD of numbers 144, 525, 849, 788 is 1

Given Input Data is 144, 525, 849, 788

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 849 is 3 x 283

Prime Factorization of 788 is 2 x 2 x 197

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(144, 525) = 25200

GCD(144, 525) = ( 144 x 525 ) / 25200

GCD(144, 525) = 75600 / 25200

GCD(144, 525) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 849

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

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

GCD(3, 849) = 2547 / 849

GCD(3, 849) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 788

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

LCM(3, 788) = 2364

GCD(3, 788) = ( 3 x 788 ) / 2364

GCD(3, 788) = 2364 / 2364

GCD(3, 788) = 1

GCD of 144, 525, 849, 788 is 1

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1. What is the GCD of 144, 525, 849, 788?

GCD of 144, 525, 849, 788 is 1

2. Where do I get the detailed procedure to find GCD of 144, 525, 849, 788?

You can find a detailed procedure to find GCD of 144, 525, 849, 788 on our page.

3. How to find GCD of 144, 525, 849, 788 on a calculator?

You can find the GCD of 144, 525, 849, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.