GCD of 775, 944, 83, 171 Calculator

Given Input numbers are 775, 944, 83, 171

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

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

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 775, 944, 83, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 944, 83, 171 is 1.

Therefore, GCD of numbers 775, 944, 83, 171 is 1

Given Input Data is 775, 944, 83, 171

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

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 83 is 83

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(775, 944) = 731600

GCD(775, 944) = ( 775 x 944 ) / 731600

GCD(775, 944) = 731600 / 731600

GCD(775, 944) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 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 775, 944, 83, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 689, 86, 768
• GCD of 485, 919, 86, 257
• GCD of 391, 712, 71, 268
• GCD of 597, 443, 98, 271
• GCD of 808, 806, 91, 400

1. What is the GCD of 775, 944, 83, 171?

GCD of 775, 944, 83, 171 is 1

2. Where do I get the detailed procedure to find GCD of 775, 944, 83, 171?

You can find a detailed procedure to find GCD of 775, 944, 83, 171 on our page.

3. How to find GCD of 775, 944, 83, 171 on a calculator?

You can find the GCD of 775, 944, 83, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.