GCD of 25, 825, 964, 135 Calculator

Given Input numbers are 25, 825, 964, 135

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

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

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 25, 825, 964, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 825, 964, 135 is 1.

Therefore, GCD of numbers 25, 825, 964, 135 is 1

Given Input Data is 25, 825, 964, 135

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

Prime Factorization of 25 is 5 x 5

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 135 is 3 x 3 x 3 x 5

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(25, 825) = 825

GCD(25, 825) = ( 25 x 825 ) / 825

GCD(25, 825) = 20625 / 825

GCD(25, 825) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 964

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

LCM(25, 964) = 24100

GCD(25, 964) = ( 25 x 964 ) / 24100

GCD(25, 964) = 24100 / 24100

GCD(25, 964) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 25, 825, 964, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 163, 943, 215
• GCD of 26, 458, 424, 822
• GCD of 65, 322, 963, 693
• GCD of 68, 615, 982, 705
• GCD of 72, 392, 967, 247

1. What is the GCD of 25, 825, 964, 135?

GCD of 25, 825, 964, 135 is 1

2. Where do I get the detailed procedure to find GCD of 25, 825, 964, 135?

You can find a detailed procedure to find GCD of 25, 825, 964, 135 on our page.

3. How to find GCD of 25, 825, 964, 135 on a calculator?

You can find the GCD of 25, 825, 964, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.