GCD of 189, 969, 401, 658 Calculator

Given Input numbers are 189, 969, 401, 658

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 658

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

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

Greatest Common Divisior

We found the divisors of 189, 969, 401, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 969, 401, 658 is 1.

Therefore, GCD of numbers 189, 969, 401, 658 is 1

Given Input Data is 189, 969, 401, 658

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 401 is 401

Prime Factorization of 658 is 2 x 7 x 47

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(189, 969) = 61047

GCD(189, 969) = ( 189 x 969 ) / 61047

GCD(189, 969) = 183141 / 61047

GCD(189, 969) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 401

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

LCM(3, 401) = 1203

GCD(3, 401) = ( 3 x 401 ) / 1203

GCD(3, 401) = 1203 / 1203

GCD(3, 401) = 1

Step3:

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

GCD of 189, 969, 401, 658 is 1

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• GCD of 667, 110, 937, 794
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• GCD of 724, 988, 210, 692

1. What is the GCD of 189, 969, 401, 658?

GCD of 189, 969, 401, 658 is 1

2. Where do I get the detailed procedure to find GCD of 189, 969, 401, 658?

You can find a detailed procedure to find GCD of 189, 969, 401, 658 on our page.

3. How to find GCD of 189, 969, 401, 658 on a calculator?

You can find the GCD of 189, 969, 401, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.