GCD of 966, 825, 554, 531 Calculator

Given Input numbers are 966, 825, 554, 531

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Greatest Common Divisior

We found the divisors of 966, 825, 554, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 825, 554, 531 is 1.

Therefore, GCD of numbers 966, 825, 554, 531 is 1

Given Input Data is 966, 825, 554, 531

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 531 is 3 x 3 x 59

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(966, 825) = 265650

GCD(966, 825) = ( 966 x 825 ) / 265650

GCD(966, 825) = 796950 / 265650

GCD(966, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 554

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

LCM(3, 554) = 1662

GCD(3, 554) = ( 3 x 554 ) / 1662

GCD(3, 554) = 1662 / 1662

GCD(3, 554) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 531

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

LCM(1, 531) = 531

GCD(1, 531) = ( 1 x 531 ) / 531

GCD(1, 531) = 531 / 531

GCD(1, 531) = 1

GCD of 966, 825, 554, 531 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 419, 632, 821
• GCD of 542, 383, 997, 192
• GCD of 324, 898, 844, 976
• GCD of 847, 115, 825, 460
• GCD of 377, 179, 340, 923

1. What is the GCD of 966, 825, 554, 531?

GCD of 966, 825, 554, 531 is 1

2. Where do I get the detailed procedure to find GCD of 966, 825, 554, 531?

You can find a detailed procedure to find GCD of 966, 825, 554, 531 on our page.

3. How to find GCD of 966, 825, 554, 531 on a calculator?

You can find the GCD of 966, 825, 554, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.