GCD of 408, 518, 747, 119 Calculator

Given Input numbers are 408, 518, 747, 119

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 408, 518, 747, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 518, 747, 119 is 1.

Therefore, GCD of numbers 408, 518, 747, 119 is 1

Given Input Data is 408, 518, 747, 119

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 119 is 7 x 17

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(408, 518) = 105672

GCD(408, 518) = ( 408 x 518 ) / 105672

GCD(408, 518) = 211344 / 105672

GCD(408, 518) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 747

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

LCM(2, 747) = 1494

GCD(2, 747) = ( 2 x 747 ) / 1494

GCD(2, 747) = 1494 / 1494

GCD(2, 747) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

GCD of 408, 518, 747, 119 is 1

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1. What is the GCD of 408, 518, 747, 119?

GCD of 408, 518, 747, 119 is 1

2. Where do I get the detailed procedure to find GCD of 408, 518, 747, 119?

You can find a detailed procedure to find GCD of 408, 518, 747, 119 on our page.

3. How to find GCD of 408, 518, 747, 119 on a calculator?

You can find the GCD of 408, 518, 747, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.