GCD of 329, 994, 72, 958 Calculator

Given Input numbers are 329, 994, 72, 958

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

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

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 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 329, 994, 72, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 994, 72, 958 is 1.

Therefore, GCD of numbers 329, 994, 72, 958 is 1

Given Input Data is 329, 994, 72, 958

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

Prime Factorization of 329 is 7 x 47

Prime Factorization of 994 is 2 x 7 x 71

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

Prime Factorization of 958 is 2 x 479

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(329, 994) = 46718

GCD(329, 994) = ( 329 x 994 ) / 46718

GCD(329, 994) = 327026 / 46718

GCD(329, 994) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 72

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

LCM(7, 72) = 504

GCD(7, 72) = ( 7 x 72 ) / 504

GCD(7, 72) = 504 / 504

GCD(7, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 329, 994, 72, 958 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 651, 574, 95, 465
• GCD of 544, 153, 44, 929
• GCD of 664, 296, 81, 179
• GCD of 393, 102, 47, 182
• GCD of 746, 607, 89, 612

1. What is the GCD of 329, 994, 72, 958?

GCD of 329, 994, 72, 958 is 1

2. Where do I get the detailed procedure to find GCD of 329, 994, 72, 958?

You can find a detailed procedure to find GCD of 329, 994, 72, 958 on our page.

3. How to find GCD of 329, 994, 72, 958 on a calculator?

You can find the GCD of 329, 994, 72, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.