GCD of 327, 897, 45, 991 Calculator

Given Input numbers are 327, 897, 45, 991

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 991

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

1, 991

Greatest Common Divisior

We found the divisors of 327, 897, 45, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 897, 45, 991 is 1.

Therefore, GCD of numbers 327, 897, 45, 991 is 1

Given Input Data is 327, 897, 45, 991

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 991 is 991

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(327, 897) = 97773

GCD(327, 897) = ( 327 x 897 ) / 97773

GCD(327, 897) = 293319 / 97773

GCD(327, 897) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 45

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

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

GCD(3, 45) = 135 / 45

GCD(3, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 991

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

LCM(3, 991) = 2973

GCD(3, 991) = ( 3 x 991 ) / 2973

GCD(3, 991) = 2973 / 2973

GCD(3, 991) = 1

GCD of 327, 897, 45, 991 is 1

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1. What is the GCD of 327, 897, 45, 991?

GCD of 327, 897, 45, 991 is 1

2. Where do I get the detailed procedure to find GCD of 327, 897, 45, 991?

You can find a detailed procedure to find GCD of 327, 897, 45, 991 on our page.

3. How to find GCD of 327, 897, 45, 991 on a calculator?

You can find the GCD of 327, 897, 45, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.