GCD of 825, 554, 88, 123 Calculator

Given Input numbers are 825, 554, 88, 123

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 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 825, 554, 88, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 554, 88, 123 is 1.

Therefore, GCD of numbers 825, 554, 88, 123 is 1

Given Input Data is 825, 554, 88, 123

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 554 is 2 x 277

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

Prime Factorization of 123 is 3 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, 554) = 457050

GCD(825, 554) = ( 825 x 554 ) / 457050

GCD(825, 554) = 457050 / 457050

GCD(825, 554) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 825, 554, 88, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 932, 58, 621
• GCD of 589, 888, 26, 198
• GCD of 676, 552, 36, 987
• GCD of 273, 527, 55, 644
• GCD of 571, 878, 60, 238

1. What is the GCD of 825, 554, 88, 123?

GCD of 825, 554, 88, 123 is 1

2. Where do I get the detailed procedure to find GCD of 825, 554, 88, 123?

You can find a detailed procedure to find GCD of 825, 554, 88, 123 on our page.

3. How to find GCD of 825, 554, 88, 123 on a calculator?

You can find the GCD of 825, 554, 88, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.