GCD of 388, 945, 188, 542 Calculator

Given Input numbers are 388, 945, 188, 542

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 188

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

1, 2, 4, 47, 94, 188

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 388, 945, 188, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 945, 188, 542 is 1.

Therefore, GCD of numbers 388, 945, 188, 542 is 1

Given Input Data is 388, 945, 188, 542

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

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 542 is 2 x 271

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(388, 945) = 366660

GCD(388, 945) = ( 388 x 945 ) / 366660

GCD(388, 945) = 366660 / 366660

GCD(388, 945) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 388, 945, 188, 542 is 1

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1. What is the GCD of 388, 945, 188, 542?

GCD of 388, 945, 188, 542 is 1

2. Where do I get the detailed procedure to find GCD of 388, 945, 188, 542?

You can find a detailed procedure to find GCD of 388, 945, 188, 542 on our page.

3. How to find GCD of 388, 945, 188, 542 on a calculator?

You can find the GCD of 388, 945, 188, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.