GCD of 787, 586, 87, 144 Calculator

Given Input numbers are 787, 586, 87, 144

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

Divisors of 787

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

1, 787

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

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

Greatest Common Divisior

We found the divisors of 787, 586, 87, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 586, 87, 144 is 1.

Therefore, GCD of numbers 787, 586, 87, 144 is 1

Given Input Data is 787, 586, 87, 144

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

Prime Factorization of 787 is 787

Prime Factorization of 586 is 2 x 293

Prime Factorization of 87 is 3 x 29

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

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(787, 586) = 461182

GCD(787, 586) = ( 787 x 586 ) / 461182

GCD(787, 586) = 461182 / 461182

GCD(787, 586) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 787, 586, 87, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 429, 78, 273
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• GCD of 631, 919, 99, 559
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• GCD of 291, 718, 64, 427

1. What is the GCD of 787, 586, 87, 144?

GCD of 787, 586, 87, 144 is 1

2. Where do I get the detailed procedure to find GCD of 787, 586, 87, 144?

You can find a detailed procedure to find GCD of 787, 586, 87, 144 on our page.

3. How to find GCD of 787, 586, 87, 144 on a calculator?

You can find the GCD of 787, 586, 87, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.