GCD of 54, 188, 746, 285 Calculator

Given Input numbers are 54, 188, 746, 285

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 188

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

1, 2, 4, 47, 94, 188

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 54, 188, 746, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 188, 746, 285 is 1.

Therefore, GCD of numbers 54, 188, 746, 285 is 1

Given Input Data is 54, 188, 746, 285

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 746 is 2 x 373

Prime Factorization of 285 is 3 x 5 x 19

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(54, 188) = 5076

GCD(54, 188) = ( 54 x 188 ) / 5076

GCD(54, 188) = 10152 / 5076

GCD(54, 188) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 746

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

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

GCD(2, 746) = 1492 / 746

GCD(2, 746) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 285

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

LCM(2, 285) = 570

GCD(2, 285) = ( 2 x 285 ) / 570

GCD(2, 285) = 570 / 570

GCD(2, 285) = 1

GCD of 54, 188, 746, 285 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 663, 936, 879
• GCD of 51, 829, 532, 291
• GCD of 90, 737, 643, 363
• GCD of 79, 682, 660, 726
• GCD of 54, 804, 637, 298

1. What is the GCD of 54, 188, 746, 285?

GCD of 54, 188, 746, 285 is 1

2. Where do I get the detailed procedure to find GCD of 54, 188, 746, 285?

You can find a detailed procedure to find GCD of 54, 188, 746, 285 on our page.

3. How to find GCD of 54, 188, 746, 285 on a calculator?

You can find the GCD of 54, 188, 746, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.