GCD of 217, 823, 993, 159 Calculator

Given Input numbers are 217, 823, 993, 159

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 217, 823, 993, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 823, 993, 159 is 1.

Therefore, GCD of numbers 217, 823, 993, 159 is 1

Given Input Data is 217, 823, 993, 159

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 823 is 823

Prime Factorization of 993 is 3 x 331

Prime Factorization of 159 is 3 x 53

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(217, 823) = 178591

GCD(217, 823) = ( 217 x 823 ) / 178591

GCD(217, 823) = 178591 / 178591

GCD(217, 823) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 217, 823, 993, 159 is 1

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1. What is the GCD of 217, 823, 993, 159?

GCD of 217, 823, 993, 159 is 1

2. Where do I get the detailed procedure to find GCD of 217, 823, 993, 159?

You can find a detailed procedure to find GCD of 217, 823, 993, 159 on our page.

3. How to find GCD of 217, 823, 993, 159 on a calculator?

You can find the GCD of 217, 823, 993, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.