GCD of 102, 850, 90, 327 Calculator

Given Input numbers are 102, 850, 90, 327

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 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Greatest Common Divisior

We found the divisors of 102, 850, 90, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 850, 90, 327 is 1.

Therefore, GCD of numbers 102, 850, 90, 327 is 1

Given Input Data is 102, 850, 90, 327

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 850 is 2 x 5 x 5 x 17

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 327 is 3 x 109

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, 850) = 2550

GCD(102, 850) = ( 102 x 850 ) / 2550

GCD(102, 850) = 86700 / 2550

GCD(102, 850) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 90

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

LCM(34, 90) = 1530

GCD(34, 90) = ( 34 x 90 ) / 1530

GCD(34, 90) = 3060 / 1530

GCD(34, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 327

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

LCM(2, 327) = 654

GCD(2, 327) = ( 2 x 327 ) / 654

GCD(2, 327) = 654 / 654

GCD(2, 327) = 1

GCD of 102, 850, 90, 327 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 496, 58, 410
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• GCD of 508, 525, 82, 247

1. What is the GCD of 102, 850, 90, 327?

GCD of 102, 850, 90, 327 is 1

2. Where do I get the detailed procedure to find GCD of 102, 850, 90, 327?

You can find a detailed procedure to find GCD of 102, 850, 90, 327 on our page.

3. How to find GCD of 102, 850, 90, 327 on a calculator?

You can find the GCD of 102, 850, 90, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.