GCD of 789, 917, 87, 504 Calculator

Given Input numbers are 789, 917, 87, 504

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

Divisors of 789

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

1, 3, 263, 789

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 87

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

1, 3, 29, 87

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 789, 917, 87, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 917, 87, 504 is 1.

Therefore, GCD of numbers 789, 917, 87, 504 is 1

Given Input Data is 789, 917, 87, 504

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 917 is 7 x 131

Prime Factorization of 87 is 3 x 29

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(789, 917) = 723513

GCD(789, 917) = ( 789 x 917 ) / 723513

GCD(789, 917) = 723513 / 723513

GCD(789, 917) = 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 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 789, 917, 87, 504 is 1

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1. What is the GCD of 789, 917, 87, 504?

GCD of 789, 917, 87, 504 is 1

2. Where do I get the detailed procedure to find GCD of 789, 917, 87, 504?

You can find a detailed procedure to find GCD of 789, 917, 87, 504 on our page.

3. How to find GCD of 789, 917, 87, 504 on a calculator?

You can find the GCD of 789, 917, 87, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.