GCD of 82, 732, 979, 909 Calculator

Given Input numbers are 82, 732, 979, 909

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 82, 732, 979, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 732, 979, 909 is 1.

Therefore, GCD of numbers 82, 732, 979, 909 is 1

Given Input Data is 82, 732, 979, 909

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 979 is 11 x 89

Prime Factorization of 909 is 3 x 3 x 101

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(82, 732) = 30012

GCD(82, 732) = ( 82 x 732 ) / 30012

GCD(82, 732) = 60024 / 30012

GCD(82, 732) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 979

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

LCM(2, 979) = 1958

GCD(2, 979) = ( 2 x 979 ) / 1958

GCD(2, 979) = 1958 / 1958

GCD(2, 979) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 82, 732, 979, 909 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 172, 685, 529
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• GCD of 23, 296, 170, 326

1. What is the GCD of 82, 732, 979, 909?

GCD of 82, 732, 979, 909 is 1

2. Where do I get the detailed procedure to find GCD of 82, 732, 979, 909?

You can find a detailed procedure to find GCD of 82, 732, 979, 909 on our page.

3. How to find GCD of 82, 732, 979, 909 on a calculator?

You can find the GCD of 82, 732, 979, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.