GCD of 989, 729, 917, 746 Calculator

Given Input numbers are 989, 729, 917, 746

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 729

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

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 989, 729, 917, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 729, 917, 746 is 1.

Therefore, GCD of numbers 989, 729, 917, 746 is 1

Given Input Data is 989, 729, 917, 746

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

Prime Factorization of 989 is 23 x 43

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 746 is 2 x 373

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(989, 729) = 720981

GCD(989, 729) = ( 989 x 729 ) / 720981

GCD(989, 729) = 720981 / 720981

GCD(989, 729) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 989, 729, 917, 746 is 1

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1. What is the GCD of 989, 729, 917, 746?

GCD of 989, 729, 917, 746 is 1

2. Where do I get the detailed procedure to find GCD of 989, 729, 917, 746?

You can find a detailed procedure to find GCD of 989, 729, 917, 746 on our page.

3. How to find GCD of 989, 729, 917, 746 on a calculator?

You can find the GCD of 989, 729, 917, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.