GCD of 319, 497, 72, 159 Calculator

Given Input numbers are 319, 497, 72, 159

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 319, 497, 72, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 497, 72, 159 is 1.

Therefore, GCD of numbers 319, 497, 72, 159 is 1

Given Input Data is 319, 497, 72, 159

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 497 is 7 x 71

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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(319, 497) = 158543

GCD(319, 497) = ( 319 x 497 ) / 158543

GCD(319, 497) = 158543 / 158543

GCD(319, 497) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 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 319, 497, 72, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 586, 49, 729
• GCD of 913, 250, 51, 716
• GCD of 197, 872, 94, 407
• GCD of 160, 941, 16, 847
• GCD of 411, 895, 52, 507

1. What is the GCD of 319, 497, 72, 159?

GCD of 319, 497, 72, 159 is 1

2. Where do I get the detailed procedure to find GCD of 319, 497, 72, 159?

You can find a detailed procedure to find GCD of 319, 497, 72, 159 on our page.

3. How to find GCD of 319, 497, 72, 159 on a calculator?

You can find the GCD of 319, 497, 72, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.