GCD of 981, 164, 44, 509 Calculator

Given Input numbers are 981, 164, 44, 509

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 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 981, 164, 44, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 164, 44, 509 is 1.

Therefore, GCD of numbers 981, 164, 44, 509 is 1

Given Input Data is 981, 164, 44, 509

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 164 is 2 x 2 x 41

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 509 is 509

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, 164) = 160884

GCD(981, 164) = ( 981 x 164 ) / 160884

GCD(981, 164) = 160884 / 160884

GCD(981, 164) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 981, 164, 44, 509 is 1

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1. What is the GCD of 981, 164, 44, 509?

GCD of 981, 164, 44, 509 is 1

2. Where do I get the detailed procedure to find GCD of 981, 164, 44, 509?

You can find a detailed procedure to find GCD of 981, 164, 44, 509 on our page.

3. How to find GCD of 981, 164, 44, 509 on a calculator?

You can find the GCD of 981, 164, 44, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.