GCD of 171, 783, 655, 106 Calculator

Given Input numbers are 171, 783, 655, 106

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 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 171, 783, 655, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 783, 655, 106 is 1.

Therefore, GCD of numbers 171, 783, 655, 106 is 1

Given Input Data is 171, 783, 655, 106

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 783 is 3 x 3 x 3 x 29

Prime Factorization of 655 is 5 x 131

Prime Factorization of 106 is 2 x 53

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, 783) = 14877

GCD(171, 783) = ( 171 x 783 ) / 14877

GCD(171, 783) = 133893 / 14877

GCD(171, 783) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 655

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

LCM(9, 655) = 5895

GCD(9, 655) = ( 9 x 655 ) / 5895

GCD(9, 655) = 5895 / 5895

GCD(9, 655) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 171, 783, 655, 106 is 1

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1. What is the GCD of 171, 783, 655, 106?

GCD of 171, 783, 655, 106 is 1

2. Where do I get the detailed procedure to find GCD of 171, 783, 655, 106?

You can find a detailed procedure to find GCD of 171, 783, 655, 106 on our page.

3. How to find GCD of 171, 783, 655, 106 on a calculator?

You can find the GCD of 171, 783, 655, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.