GCD of 981, 901, 684, 514 Calculator

Given Input numbers are 981, 901, 684, 514

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 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 981, 901, 684, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 901, 684, 514 is 1.

Therefore, GCD of numbers 981, 901, 684, 514 is 1

Given Input Data is 981, 901, 684, 514

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 901 is 17 x 53

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 514 is 2 x 257

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, 901) = 883881

GCD(981, 901) = ( 981 x 901 ) / 883881

GCD(981, 901) = 883881 / 883881

GCD(981, 901) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 981, 901, 684, 514 is 1

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1. What is the GCD of 981, 901, 684, 514?

GCD of 981, 901, 684, 514 is 1

2. Where do I get the detailed procedure to find GCD of 981, 901, 684, 514?

You can find a detailed procedure to find GCD of 981, 901, 684, 514 on our page.

3. How to find GCD of 981, 901, 684, 514 on a calculator?

You can find the GCD of 981, 901, 684, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.