GCD of 171, 651, 75, 329 Calculator

Given Input numbers are 171, 651, 75, 329

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 329

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

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 171, 651, 75, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 651, 75, 329 is 1.

Therefore, GCD of numbers 171, 651, 75, 329 is 1

Given Input Data is 171, 651, 75, 329

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 329 is 7 x 47

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(171, 651) = 37107

GCD(171, 651) = ( 171 x 651 ) / 37107

GCD(171, 651) = 111321 / 37107

GCD(171, 651) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 75

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

LCM(3, 75) = 75

GCD(3, 75) = ( 3 x 75 ) / 75

GCD(3, 75) = 225 / 75

GCD(3, 75) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 329

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

LCM(3, 329) = 987

GCD(3, 329) = ( 3 x 329 ) / 987

GCD(3, 329) = 987 / 987

GCD(3, 329) = 1

GCD of 171, 651, 75, 329 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 190, 52, 882
• GCD of 100, 873, 22, 354
• GCD of 312, 768, 25, 999
• GCD of 762, 305, 45, 397
• GCD of 949, 299, 92, 489

1. What is the GCD of 171, 651, 75, 329?

GCD of 171, 651, 75, 329 is 1

2. Where do I get the detailed procedure to find GCD of 171, 651, 75, 329?

You can find a detailed procedure to find GCD of 171, 651, 75, 329 on our page.

3. How to find GCD of 171, 651, 75, 329 on a calculator?

You can find the GCD of 171, 651, 75, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.