GCD of 345, 518, 15, 600 Calculator

Given Input numbers are 345, 518, 15, 600

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

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 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 345, 518, 15, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 518, 15, 600 is 1.

Therefore, GCD of numbers 345, 518, 15, 600 is 1

Given Input Data is 345, 518, 15, 600

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 15 is 3 x 5

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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(345, 518) = 178710

GCD(345, 518) = ( 345 x 518 ) / 178710

GCD(345, 518) = 178710 / 178710

GCD(345, 518) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 345, 518, 15, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 694, 83, 182
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• GCD of 856, 896, 54, 616

1. What is the GCD of 345, 518, 15, 600?

GCD of 345, 518, 15, 600 is 1

2. Where do I get the detailed procedure to find GCD of 345, 518, 15, 600?

You can find a detailed procedure to find GCD of 345, 518, 15, 600 on our page.

3. How to find GCD of 345, 518, 15, 600 on a calculator?

You can find the GCD of 345, 518, 15, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.