GCD of 964, 662, 269, 825 Calculator

Given Input numbers are 964, 662, 269, 825

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

Divisors of 964

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

1, 2, 4, 241, 482, 964

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

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 964, 662, 269, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 662, 269, 825 is 1.

Therefore, GCD of numbers 964, 662, 269, 825 is 1

Given Input Data is 964, 662, 269, 825

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 662 is 2 x 331

Prime Factorization of 269 is 269

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(964, 662) = 319084

GCD(964, 662) = ( 964 x 662 ) / 319084

GCD(964, 662) = 638168 / 319084

GCD(964, 662) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 269

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

LCM(2, 269) = 538

GCD(2, 269) = ( 2 x 269 ) / 538

GCD(2, 269) = 538 / 538

GCD(2, 269) = 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 964, 662, 269, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 348, 128, 287
• GCD of 111, 485, 841, 431
• GCD of 142, 201, 300, 560
• GCD of 233, 360, 738, 296
• GCD of 233, 533, 280, 413

1. What is the GCD of 964, 662, 269, 825?

GCD of 964, 662, 269, 825 is 1

2. Where do I get the detailed procedure to find GCD of 964, 662, 269, 825?

You can find a detailed procedure to find GCD of 964, 662, 269, 825 on our page.

3. How to find GCD of 964, 662, 269, 825 on a calculator?

You can find the GCD of 964, 662, 269, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.