GCD of 144, 610, 787, 939 Calculator

Given Input numbers are 144, 610, 787, 939

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 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Greatest Common Divisior

We found the divisors of 144, 610, 787, 939 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 610, 787, 939 is 1.

Therefore, GCD of numbers 144, 610, 787, 939 is 1

Given Input Data is 144, 610, 787, 939

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 610 is 2 x 5 x 61

Prime Factorization of 787 is 787

Prime Factorization of 939 is 3 x 313

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, 610) = 43920

GCD(144, 610) = ( 144 x 610 ) / 43920

GCD(144, 610) = 87840 / 43920

GCD(144, 610) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 787

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

LCM(2, 787) = 1574

GCD(2, 787) = ( 2 x 787 ) / 1574

GCD(2, 787) = 1574 / 1574

GCD(2, 787) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 939

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

LCM(1, 939) = 939

GCD(1, 939) = ( 1 x 939 ) / 939

GCD(1, 939) = 939 / 939

GCD(1, 939) = 1

GCD of 144, 610, 787, 939 is 1

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1. What is the GCD of 144, 610, 787, 939?

GCD of 144, 610, 787, 939 is 1

2. Where do I get the detailed procedure to find GCD of 144, 610, 787, 939?

You can find a detailed procedure to find GCD of 144, 610, 787, 939 on our page.

3. How to find GCD of 144, 610, 787, 939 on a calculator?

You can find the GCD of 144, 610, 787, 939 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.