GCD of 542, 688, 394, 471 Calculator

Given Input numbers are 542, 688, 394, 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 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

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, 688, 394, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 688, 394, 471 is 1.

Therefore, GCD of numbers 542, 688, 394, 471 is 1

Given Input Data is 542, 688, 394, 471

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 394 is 2 x 197

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, 688) = 186448

GCD(542, 688) = ( 542 x 688 ) / 186448

GCD(542, 688) = 372896 / 186448

GCD(542, 688) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 394

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

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

GCD(2, 394) = 788 / 394

GCD(2, 394) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 471

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

LCM(2, 471) = 942

GCD(2, 471) = ( 2 x 471 ) / 942

GCD(2, 471) = 942 / 942

GCD(2, 471) = 1

GCD of 542, 688, 394, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 539, 899, 350, 261
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• GCD of 242, 149, 167, 888

1. What is the GCD of 542, 688, 394, 471?

GCD of 542, 688, 394, 471 is 1

2. Where do I get the detailed procedure to find GCD of 542, 688, 394, 471?

You can find a detailed procedure to find GCD of 542, 688, 394, 471 on our page.

3. How to find GCD of 542, 688, 394, 471 on a calculator?

You can find the GCD of 542, 688, 394, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.