GCD of 828, 994, 175, 913 Calculator

Given Input numbers are 828, 994, 175, 913

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 913

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

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 828, 994, 175, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 994, 175, 913 is 1.

Therefore, GCD of numbers 828, 994, 175, 913 is 1

Given Input Data is 828, 994, 175, 913

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 913 is 11 x 83

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(828, 994) = 411516

GCD(828, 994) = ( 828 x 994 ) / 411516

GCD(828, 994) = 823032 / 411516

GCD(828, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 175

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

LCM(2, 175) = 350

GCD(2, 175) = ( 2 x 175 ) / 350

GCD(2, 175) = 350 / 350

GCD(2, 175) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 913

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

LCM(1, 913) = 913

GCD(1, 913) = ( 1 x 913 ) / 913

GCD(1, 913) = 913 / 913

GCD(1, 913) = 1

GCD of 828, 994, 175, 913 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 741, 178, 895
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1. What is the GCD of 828, 994, 175, 913?

GCD of 828, 994, 175, 913 is 1

2. Where do I get the detailed procedure to find GCD of 828, 994, 175, 913?

You can find a detailed procedure to find GCD of 828, 994, 175, 913 on our page.

3. How to find GCD of 828, 994, 175, 913 on a calculator?

You can find the GCD of 828, 994, 175, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.