GCD of 966, 725, 970, 831 Calculator

Given Input numbers are 966, 725, 970, 831

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 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 966, 725, 970, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 725, 970, 831 is 1.

Therefore, GCD of numbers 966, 725, 970, 831 is 1

Given Input Data is 966, 725, 970, 831

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 725 is 5 x 5 x 29

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 831 is 3 x 277

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, 725) = 700350

GCD(966, 725) = ( 966 x 725 ) / 700350

GCD(966, 725) = 700350 / 700350

GCD(966, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

GCD of 966, 725, 970, 831 is 1

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1. What is the GCD of 966, 725, 970, 831?

GCD of 966, 725, 970, 831 is 1

2. Where do I get the detailed procedure to find GCD of 966, 725, 970, 831?

You can find a detailed procedure to find GCD of 966, 725, 970, 831 on our page.

3. How to find GCD of 966, 725, 970, 831 on a calculator?

You can find the GCD of 966, 725, 970, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.