GCD of 731, 189, 78, 171 Calculator

Given Input numbers are 731, 189, 78, 171

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 171

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

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 731, 189, 78, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 189, 78, 171 is 1.

Therefore, GCD of numbers 731, 189, 78, 171 is 1

Given Input Data is 731, 189, 78, 171

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 171 is 3 x 3 x 19

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(731, 189) = 138159

GCD(731, 189) = ( 731 x 189 ) / 138159

GCD(731, 189) = 138159 / 138159

GCD(731, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 731, 189, 78, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 737, 804, 23, 371
• GCD of 690, 636, 46, 308
• GCD of 316, 190, 92, 908
• GCD of 477, 155, 36, 194
• GCD of 478, 248, 57, 427

1. What is the GCD of 731, 189, 78, 171?

GCD of 731, 189, 78, 171 is 1

2. Where do I get the detailed procedure to find GCD of 731, 189, 78, 171?

You can find a detailed procedure to find GCD of 731, 189, 78, 171 on our page.

3. How to find GCD of 731, 189, 78, 171 on a calculator?

You can find the GCD of 731, 189, 78, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.