GCD of 187, 971, 80, 369 Calculator

Given Input numbers are 187, 971, 80, 369

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

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 369

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

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 187, 971, 80, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 971, 80, 369 is 1.

Therefore, GCD of numbers 187, 971, 80, 369 is 1

Given Input Data is 187, 971, 80, 369

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 971 is 971

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 369 is 3 x 3 x 41

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(187, 971) = 181577

GCD(187, 971) = ( 187 x 971 ) / 181577

GCD(187, 971) = 181577 / 181577

GCD(187, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 187, 971, 80, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 878, 74, 909
• GCD of 293, 388, 94, 559
• GCD of 727, 307, 92, 475
• GCD of 595, 512, 74, 819
• GCD of 925, 700, 49, 738

1. What is the GCD of 187, 971, 80, 369?

GCD of 187, 971, 80, 369 is 1

2. Where do I get the detailed procedure to find GCD of 187, 971, 80, 369?

You can find a detailed procedure to find GCD of 187, 971, 80, 369 on our page.

3. How to find GCD of 187, 971, 80, 369 on a calculator?

You can find the GCD of 187, 971, 80, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.