GCD of 157, 988, 25, 825 Calculator

Given Input numbers are 157, 988, 25, 825

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

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

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

Greatest Common Divisior

We found the divisors of 157, 988, 25, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 988, 25, 825 is 1.

Therefore, GCD of numbers 157, 988, 25, 825 is 1

Given Input Data is 157, 988, 25, 825

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

Prime Factorization of 157 is 157

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 25 is 5 x 5

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(157, 988) = 155116

GCD(157, 988) = ( 157 x 988 ) / 155116

GCD(157, 988) = 155116 / 155116

GCD(157, 988) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 157, 988, 25, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 877, 15, 931
• GCD of 913, 553, 81, 842
• GCD of 743, 916, 55, 113
• GCD of 255, 432, 54, 333
• GCD of 529, 636, 98, 276

1. What is the GCD of 157, 988, 25, 825?

GCD of 157, 988, 25, 825 is 1

2. Where do I get the detailed procedure to find GCD of 157, 988, 25, 825?

You can find a detailed procedure to find GCD of 157, 988, 25, 825 on our page.

3. How to find GCD of 157, 988, 25, 825 on a calculator?

You can find the GCD of 157, 988, 25, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.