GCD of 521, 117, 45, 188 Calculator

Given Input numbers are 521, 117, 45, 188

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

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 521, 117, 45, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 117, 45, 188 is 1.

Therefore, GCD of numbers 521, 117, 45, 188 is 1

Given Input Data is 521, 117, 45, 188

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

Prime Factorization of 521 is 521

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 188 is 2 x 2 x 47

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(521, 117) = 60957

GCD(521, 117) = ( 521 x 117 ) / 60957

GCD(521, 117) = 60957 / 60957

GCD(521, 117) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 521, 117, 45, 188 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 611, 29, 665
• GCD of 646, 323, 45, 984
• GCD of 117, 342, 80, 834
• GCD of 260, 386, 45, 888
• GCD of 917, 110, 84, 238

1. What is the GCD of 521, 117, 45, 188?

GCD of 521, 117, 45, 188 is 1

2. Where do I get the detailed procedure to find GCD of 521, 117, 45, 188?

You can find a detailed procedure to find GCD of 521, 117, 45, 188 on our page.

3. How to find GCD of 521, 117, 45, 188 on a calculator?

You can find the GCD of 521, 117, 45, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.