GCD of 45, 732, 205, 518 Calculator

Given Input numbers are 45, 732, 205, 518

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 518

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

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

Greatest Common Divisior

We found the divisors of 45, 732, 205, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 732, 205, 518 is 1.

Therefore, GCD of numbers 45, 732, 205, 518 is 1

Given Input Data is 45, 732, 205, 518

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 205 is 5 x 41

Prime Factorization of 518 is 2 x 7 x 37

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(45, 732) = 10980

GCD(45, 732) = ( 45 x 732 ) / 10980

GCD(45, 732) = 32940 / 10980

GCD(45, 732) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 205

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

LCM(3, 205) = 615

GCD(3, 205) = ( 3 x 205 ) / 615

GCD(3, 205) = 615 / 615

GCD(3, 205) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

GCD of 45, 732, 205, 518 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 748, 291, 480
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• GCD of 56, 213, 656, 609
• GCD of 71, 278, 588, 848
• GCD of 28, 870, 923, 985

1. What is the GCD of 45, 732, 205, 518?

GCD of 45, 732, 205, 518 is 1

2. Where do I get the detailed procedure to find GCD of 45, 732, 205, 518?

You can find a detailed procedure to find GCD of 45, 732, 205, 518 on our page.

3. How to find GCD of 45, 732, 205, 518 on a calculator?

You can find the GCD of 45, 732, 205, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.