GCD of 966, 842, 41, 724 Calculator

Given Input numbers are 966, 842, 41, 724

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 966, 842, 41, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 842, 41, 724 is 1.

Therefore, GCD of numbers 966, 842, 41, 724 is 1

Given Input Data is 966, 842, 41, 724

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 842 is 2 x 421

Prime Factorization of 41 is 41

Prime Factorization of 724 is 2 x 2 x 181

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, 842) = 406686

GCD(966, 842) = ( 966 x 842 ) / 406686

GCD(966, 842) = 813372 / 406686

GCD(966, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 41

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

LCM(2, 41) = 82

GCD(2, 41) = ( 2 x 41 ) / 82

GCD(2, 41) = 82 / 82

GCD(2, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 966, 842, 41, 724 is 1

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1. What is the GCD of 966, 842, 41, 724?

GCD of 966, 842, 41, 724 is 1

2. Where do I get the detailed procedure to find GCD of 966, 842, 41, 724?

You can find a detailed procedure to find GCD of 966, 842, 41, 724 on our page.

3. How to find GCD of 966, 842, 41, 724 on a calculator?

You can find the GCD of 966, 842, 41, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.