GCD of 518, 920, 82, 779 Calculator

Given Input numbers are 518, 920, 82, 779

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 518, 920, 82, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 920, 82, 779 is 1.

Therefore, GCD of numbers 518, 920, 82, 779 is 1

Given Input Data is 518, 920, 82, 779

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 82 is 2 x 41

Prime Factorization of 779 is 19 x 41

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(518, 920) = 238280

GCD(518, 920) = ( 518 x 920 ) / 238280

GCD(518, 920) = 476560 / 238280

GCD(518, 920) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 779

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

LCM(2, 779) = 1558

GCD(2, 779) = ( 2 x 779 ) / 1558

GCD(2, 779) = 1558 / 1558

GCD(2, 779) = 1

GCD of 518, 920, 82, 779 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 907, 55, 879
• GCD of 464, 654, 45, 426
• GCD of 903, 719, 69, 414
• GCD of 329, 206, 16, 171
• GCD of 206, 817, 93, 156

1. What is the GCD of 518, 920, 82, 779?

GCD of 518, 920, 82, 779 is 1

2. Where do I get the detailed procedure to find GCD of 518, 920, 82, 779?

You can find a detailed procedure to find GCD of 518, 920, 82, 779 on our page.

3. How to find GCD of 518, 920, 82, 779 on a calculator?

You can find the GCD of 518, 920, 82, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.