GCD of 504, 790, 719, 218 Calculator

Given Input numbers are 504, 790, 719, 218

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

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

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 504, 790, 719, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 790, 719, 218 is 1.

Therefore, GCD of numbers 504, 790, 719, 218 is 1

Given Input Data is 504, 790, 719, 218

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

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

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 719 is 719

Prime Factorization of 218 is 2 x 109

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(504, 790) = 199080

GCD(504, 790) = ( 504 x 790 ) / 199080

GCD(504, 790) = 398160 / 199080

GCD(504, 790) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 719

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

LCM(2, 719) = 1438

GCD(2, 719) = ( 2 x 719 ) / 1438

GCD(2, 719) = 1438 / 1438

GCD(2, 719) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 504, 790, 719, 218 is 1

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1. What is the GCD of 504, 790, 719, 218?

GCD of 504, 790, 719, 218 is 1

2. Where do I get the detailed procedure to find GCD of 504, 790, 719, 218?

You can find a detailed procedure to find GCD of 504, 790, 719, 218 on our page.

3. How to find GCD of 504, 790, 719, 218 on a calculator?

You can find the GCD of 504, 790, 719, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.