GCD of 981, 171, 525, 542 Calculator

Given Input numbers are 981, 171, 525, 542

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

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

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 981, 171, 525, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 171, 525, 542 is 1.

Therefore, GCD of numbers 981, 171, 525, 542 is 1

Given Input Data is 981, 171, 525, 542

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

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 525 is 3 x 5 x 5 x 7

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(981, 171) = 18639

GCD(981, 171) = ( 981 x 171 ) / 18639

GCD(981, 171) = 167751 / 18639

GCD(981, 171) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 525

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

LCM(9, 525) = 1575

GCD(9, 525) = ( 9 x 525 ) / 1575

GCD(9, 525) = 4725 / 1575

GCD(9, 525) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 542

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

LCM(3, 542) = 1626

GCD(3, 542) = ( 3 x 542 ) / 1626

GCD(3, 542) = 1626 / 1626

GCD(3, 542) = 1

GCD of 981, 171, 525, 542 is 1

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• GCD of 248, 365, 813, 515
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1. What is the GCD of 981, 171, 525, 542?

GCD of 981, 171, 525, 542 is 1

2. Where do I get the detailed procedure to find GCD of 981, 171, 525, 542?

You can find a detailed procedure to find GCD of 981, 171, 525, 542 on our page.

3. How to find GCD of 981, 171, 525, 542 on a calculator?

You can find the GCD of 981, 171, 525, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.