GCD of 979, 671, 99, 729 Calculator

Given Input numbers are 979, 671, 99, 729

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

Divisors of 979

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

1, 11, 89, 979

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 979, 671, 99, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 671, 99, 729 is 1.

Therefore, GCD of numbers 979, 671, 99, 729 is 1

Given Input Data is 979, 671, 99, 729

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

Prime Factorization of 979 is 11 x 89

Prime Factorization of 671 is 11 x 61

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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(979, 671) = 59719

GCD(979, 671) = ( 979 x 671 ) / 59719

GCD(979, 671) = 656909 / 59719

GCD(979, 671) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 99

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

LCM(11, 99) = 99

GCD(11, 99) = ( 11 x 99 ) / 99

GCD(11, 99) = 1089 / 99

GCD(11, 99) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 729

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

LCM(11, 729) = 8019

GCD(11, 729) = ( 11 x 729 ) / 8019

GCD(11, 729) = 8019 / 8019

GCD(11, 729) = 1

GCD of 979, 671, 99, 729 is 1

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1. What is the GCD of 979, 671, 99, 729?

GCD of 979, 671, 99, 729 is 1

2. Where do I get the detailed procedure to find GCD of 979, 671, 99, 729?

You can find a detailed procedure to find GCD of 979, 671, 99, 729 on our page.

3. How to find GCD of 979, 671, 99, 729 on a calculator?

You can find the GCD of 979, 671, 99, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.