GCD of 825, 891, 88, 920 Calculator

Given Input numbers are 825, 891, 88, 920

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 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 825, 891, 88, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 891, 88, 920 is 1.

Therefore, GCD of numbers 825, 891, 88, 920 is 1

Given Input Data is 825, 891, 88, 920

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 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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, 891) = 22275

GCD(825, 891) = ( 825 x 891 ) / 22275

GCD(825, 891) = 735075 / 22275

GCD(825, 891) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 88

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

LCM(33, 88) = 264

GCD(33, 88) = ( 33 x 88 ) / 264

GCD(33, 88) = 2904 / 264

GCD(33, 88) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 920

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

LCM(11, 920) = 10120

GCD(11, 920) = ( 11 x 920 ) / 10120

GCD(11, 920) = 10120 / 10120

GCD(11, 920) = 1

GCD of 825, 891, 88, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 728, 90, 274
• GCD of 191, 568, 48, 144
• GCD of 227, 918, 81, 917
• GCD of 803, 109, 45, 124
• GCD of 837, 752, 14, 140

1. What is the GCD of 825, 891, 88, 920?

GCD of 825, 891, 88, 920 is 1

2. Where do I get the detailed procedure to find GCD of 825, 891, 88, 920?

You can find a detailed procedure to find GCD of 825, 891, 88, 920 on our page.

3. How to find GCD of 825, 891, 88, 920 on a calculator?

You can find the GCD of 825, 891, 88, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.