GCD of 825, 316, 982, 453 Calculator

Given Input numbers are 825, 316, 982, 453

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 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 825, 316, 982, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 316, 982, 453 is 1.

Therefore, GCD of numbers 825, 316, 982, 453 is 1

Given Input Data is 825, 316, 982, 453

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 316 is 2 x 2 x 79

Prime Factorization of 982 is 2 x 491

Prime Factorization of 453 is 3 x 151

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, 316) = 260700

GCD(825, 316) = ( 825 x 316 ) / 260700

GCD(825, 316) = 260700 / 260700

GCD(825, 316) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 453

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

LCM(1, 453) = 453

GCD(1, 453) = ( 1 x 453 ) / 453

GCD(1, 453) = 453 / 453

GCD(1, 453) = 1

GCD of 825, 316, 982, 453 is 1

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1. What is the GCD of 825, 316, 982, 453?

GCD of 825, 316, 982, 453 is 1

2. Where do I get the detailed procedure to find GCD of 825, 316, 982, 453?

You can find a detailed procedure to find GCD of 825, 316, 982, 453 on our page.

3. How to find GCD of 825, 316, 982, 453 on a calculator?

You can find the GCD of 825, 316, 982, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.