GCD of 321, 981, 753 Calculator

Given Input numbers are 321, 981, 753

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 981

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

1, 3, 9, 109, 327, 981

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 321, 981, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 981, 753 is 3.

Therefore, GCD of numbers 321, 981, 753 is 3

Given Input Data is 321, 981, 753

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 753 is 3 x 251

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(321, 981) = 104967

GCD(321, 981) = ( 321 x 981 ) / 104967

GCD(321, 981) = 314901 / 104967

GCD(321, 981) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 753

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

LCM(3, 753) = 753

GCD(3, 753) = ( 3 x 753 ) / 753

GCD(3, 753) = 2259 / 753

GCD(3, 753) = 3

GCD of 321, 981, 753 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 774, 122, 222
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1. What is the GCD of 321, 981, 753?

GCD of 321, 981, 753 is 3

2. Where do I get the detailed procedure to find GCD of 321, 981, 753?

You can find a detailed procedure to find GCD of 321, 981, 753 on our page.

3. How to find GCD of 321, 981, 753 on a calculator?

You can find the GCD of 321, 981, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.