GCD of 188, 288, 97, 364 Calculator

Given Input numbers are 188, 288, 97, 364

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

Divisors of 188

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

1, 2, 4, 47, 94, 188

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 188, 288, 97, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 288, 97, 364 is 1.

Therefore, GCD of numbers 188, 288, 97, 364 is 1

Given Input Data is 188, 288, 97, 364

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

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 97 is 97

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(188, 288) = 13536

GCD(188, 288) = ( 188 x 288 ) / 13536

GCD(188, 288) = 54144 / 13536

GCD(188, 288) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 97

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

LCM(4, 97) = 388

GCD(4, 97) = ( 4 x 97 ) / 388

GCD(4, 97) = 388 / 388

GCD(4, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 188, 288, 97, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 643, 75, 517
• GCD of 359, 963, 45, 601
• GCD of 100, 722, 65, 265
• GCD of 924, 805, 38, 491
• GCD of 580, 753, 42, 653

1. What is the GCD of 188, 288, 97, 364?

GCD of 188, 288, 97, 364 is 1

2. Where do I get the detailed procedure to find GCD of 188, 288, 97, 364?

You can find a detailed procedure to find GCD of 188, 288, 97, 364 on our page.

3. How to find GCD of 188, 288, 97, 364 on a calculator?

You can find the GCD of 188, 288, 97, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.