GCD of 871, 324, 996, 542 Calculator

Given Input numbers are 871, 324, 996, 542

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

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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 871, 324, 996, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 324, 996, 542 is 1.

Therefore, GCD of numbers 871, 324, 996, 542 is 1

Given Input Data is 871, 324, 996, 542

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(871, 324) = 282204

GCD(871, 324) = ( 871 x 324 ) / 282204

GCD(871, 324) = 282204 / 282204

GCD(871, 324) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 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 871, 324, 996, 542 is 1

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1. What is the GCD of 871, 324, 996, 542?

GCD of 871, 324, 996, 542 is 1

2. Where do I get the detailed procedure to find GCD of 871, 324, 996, 542?

You can find a detailed procedure to find GCD of 871, 324, 996, 542 on our page.

3. How to find GCD of 871, 324, 996, 542 on a calculator?

You can find the GCD of 871, 324, 996, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.