GCD of 981, 545, 58, 496 Calculator

Given Input numbers are 981, 545, 58, 496

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 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 981, 545, 58, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 545, 58, 496 is 1.

Therefore, GCD of numbers 981, 545, 58, 496 is 1

Given Input Data is 981, 545, 58, 496

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 545 is 5 x 109

Prime Factorization of 58 is 2 x 29

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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, 545) = 4905

GCD(981, 545) = ( 981 x 545 ) / 4905

GCD(981, 545) = 534645 / 4905

GCD(981, 545) = 109

Step2:

Here we consider the GCD from the above i.e. 109 as first number and the next as 58

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

LCM(109, 58) = 6322

GCD(109, 58) = ( 109 x 58 ) / 6322

GCD(109, 58) = 6322 / 6322

GCD(109, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 981, 545, 58, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 569, 22, 208
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• GCD of 252, 113, 13, 527

1. What is the GCD of 981, 545, 58, 496?

GCD of 981, 545, 58, 496 is 1

2. Where do I get the detailed procedure to find GCD of 981, 545, 58, 496?

You can find a detailed procedure to find GCD of 981, 545, 58, 496 on our page.

3. How to find GCD of 981, 545, 58, 496 on a calculator?

You can find the GCD of 981, 545, 58, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.