GCD of 991, 459, 73, 125 Calculator

Given Input numbers are 991, 459, 73, 125

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 991, 459, 73, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 459, 73, 125 is 1.

Therefore, GCD of numbers 991, 459, 73, 125 is 1

Given Input Data is 991, 459, 73, 125

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

Prime Factorization of 991 is 991

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 73 is 73

Prime Factorization of 125 is 5 x 5 x 5

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(991, 459) = 454869

GCD(991, 459) = ( 991 x 459 ) / 454869

GCD(991, 459) = 454869 / 454869

GCD(991, 459) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

GCD of 991, 459, 73, 125 is 1

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1. What is the GCD of 991, 459, 73, 125?

GCD of 991, 459, 73, 125 is 1

2. Where do I get the detailed procedure to find GCD of 991, 459, 73, 125?

You can find a detailed procedure to find GCD of 991, 459, 73, 125 on our page.

3. How to find GCD of 991, 459, 73, 125 on a calculator?

You can find the GCD of 991, 459, 73, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.