GCD of 825, 913, 30, 170 Calculator

Given Input numbers are 825, 913, 30, 170

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 825, 913, 30, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 913, 30, 170 is 1.

Therefore, GCD of numbers 825, 913, 30, 170 is 1

Given Input Data is 825, 913, 30, 170

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 913 is 11 x 83

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 170 is 2 x 5 x 17

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(825, 913) = 68475

GCD(825, 913) = ( 825 x 913 ) / 68475

GCD(825, 913) = 753225 / 68475

GCD(825, 913) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 30

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

LCM(11, 30) = 330

GCD(11, 30) = ( 11 x 30 ) / 330

GCD(11, 30) = 330 / 330

GCD(11, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

GCD of 825, 913, 30, 170 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 713, 97, 607
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• GCD of 167, 410, 58, 379
• GCD of 309, 666, 30, 769
• GCD of 845, 592, 77, 263

1. What is the GCD of 825, 913, 30, 170?

GCD of 825, 913, 30, 170 is 1

2. Where do I get the detailed procedure to find GCD of 825, 913, 30, 170?

You can find a detailed procedure to find GCD of 825, 913, 30, 170 on our page.

3. How to find GCD of 825, 913, 30, 170 on a calculator?

You can find the GCD of 825, 913, 30, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.