GCD of 171, 369, 77, 361 Calculator

Given Input numbers are 171, 369, 77, 361

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 171, 369, 77, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 369, 77, 361 is 1.

Therefore, GCD of numbers 171, 369, 77, 361 is 1

Given Input Data is 171, 369, 77, 361

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 369 is 3 x 3 x 41

Prime Factorization of 77 is 7 x 11

Prime Factorization of 361 is 19 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(171, 369) = 7011

GCD(171, 369) = ( 171 x 369 ) / 7011

GCD(171, 369) = 63099 / 7011

GCD(171, 369) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 77

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

LCM(9, 77) = 693

GCD(9, 77) = ( 9 x 77 ) / 693

GCD(9, 77) = 693 / 693

GCD(9, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 171, 369, 77, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 399, 35, 670
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• GCD of 776, 221, 31, 505

1. What is the GCD of 171, 369, 77, 361?

GCD of 171, 369, 77, 361 is 1

2. Where do I get the detailed procedure to find GCD of 171, 369, 77, 361?

You can find a detailed procedure to find GCD of 171, 369, 77, 361 on our page.

3. How to find GCD of 171, 369, 77, 361 on a calculator?

You can find the GCD of 171, 369, 77, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.