GCD of 102, 899, 51, 171 Calculator

Given Input numbers are 102, 899, 51, 171

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

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 102, 899, 51, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 899, 51, 171 is 1.

Therefore, GCD of numbers 102, 899, 51, 171 is 1

Given Input Data is 102, 899, 51, 171

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 899 is 29 x 31

Prime Factorization of 51 is 3 x 17

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(102, 899) = 91698

GCD(102, 899) = ( 102 x 899 ) / 91698

GCD(102, 899) = 91698 / 91698

GCD(102, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 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 102, 899, 51, 171 is 1

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• GCD of 135, 437, 93, 423
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• GCD of 715, 902, 68, 238

1. What is the GCD of 102, 899, 51, 171?

GCD of 102, 899, 51, 171 is 1

2. Where do I get the detailed procedure to find GCD of 102, 899, 51, 171?

You can find a detailed procedure to find GCD of 102, 899, 51, 171 on our page.

3. How to find GCD of 102, 899, 51, 171 on a calculator?

You can find the GCD of 102, 899, 51, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.