GCD of 825, 160, 582, 902 Calculator

Given Input numbers are 825, 160, 582, 902

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 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 825, 160, 582, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 160, 582, 902 is 1.

Therefore, GCD of numbers 825, 160, 582, 902 is 1

Given Input Data is 825, 160, 582, 902

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 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 902 is 2 x 11 x 41

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, 160) = 26400

GCD(825, 160) = ( 825 x 160 ) / 26400

GCD(825, 160) = 132000 / 26400

GCD(825, 160) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 582

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

LCM(5, 582) = 2910

GCD(5, 582) = ( 5 x 582 ) / 2910

GCD(5, 582) = 2910 / 2910

GCD(5, 582) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 825, 160, 582, 902 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 148, 507, 519
• GCD of 543, 324, 529, 403
• GCD of 983, 170, 518, 639
• GCD of 655, 943, 313, 270
• GCD of 452, 631, 238, 306

1. What is the GCD of 825, 160, 582, 902?

GCD of 825, 160, 582, 902 is 1

2. Where do I get the detailed procedure to find GCD of 825, 160, 582, 902?

You can find a detailed procedure to find GCD of 825, 160, 582, 902 on our page.

3. How to find GCD of 825, 160, 582, 902 on a calculator?

You can find the GCD of 825, 160, 582, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.