GCD of 542, 309, 55, 471 Calculator

Given Input numbers are 542, 309, 55, 471

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

Divisors of 542

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

1, 2, 271, 542

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 542, 309, 55, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 309, 55, 471 is 1.

Therefore, GCD of numbers 542, 309, 55, 471 is 1

Given Input Data is 542, 309, 55, 471

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 309 is 3 x 103

Prime Factorization of 55 is 5 x 11

Prime Factorization of 471 is 3 x 157

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(542, 309) = 167478

GCD(542, 309) = ( 542 x 309 ) / 167478

GCD(542, 309) = 167478 / 167478

GCD(542, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 542, 309, 55, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 486, 903, 75, 561
• GCD of 240, 805, 19, 609
• GCD of 809, 784, 81, 215
• GCD of 634, 473, 95, 273
• GCD of 487, 969, 81, 385

1. What is the GCD of 542, 309, 55, 471?

GCD of 542, 309, 55, 471 is 1

2. Where do I get the detailed procedure to find GCD of 542, 309, 55, 471?

You can find a detailed procedure to find GCD of 542, 309, 55, 471 on our page.

3. How to find GCD of 542, 309, 55, 471 on a calculator?

You can find the GCD of 542, 309, 55, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.