GCD of 389, 943, 658, 825 Calculator

Given Input numbers are 389, 943, 658, 825

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

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

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 389, 943, 658, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 943, 658, 825 is 1.

Therefore, GCD of numbers 389, 943, 658, 825 is 1

Given Input Data is 389, 943, 658, 825

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

Prime Factorization of 389 is 389

Prime Factorization of 943 is 23 x 41

Prime Factorization of 658 is 2 x 7 x 47

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(389, 943) = 366827

GCD(389, 943) = ( 389 x 943 ) / 366827

GCD(389, 943) = 366827 / 366827

GCD(389, 943) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 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 389, 943, 658, 825 is 1

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1. What is the GCD of 389, 943, 658, 825?

GCD of 389, 943, 658, 825 is 1

2. Where do I get the detailed procedure to find GCD of 389, 943, 658, 825?

You can find a detailed procedure to find GCD of 389, 943, 658, 825 on our page.

3. How to find GCD of 389, 943, 658, 825 on a calculator?

You can find the GCD of 389, 943, 658, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.