GCD of 296, 131, 89, 189 Calculator

Given Input numbers are 296, 131, 89, 189

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 189

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

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

Greatest Common Divisior

We found the divisors of 296, 131, 89, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 131, 89, 189 is 1.

Therefore, GCD of numbers 296, 131, 89, 189 is 1

Given Input Data is 296, 131, 89, 189

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 131 is 131

Prime Factorization of 89 is 89

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

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(296, 131) = 38776

GCD(296, 131) = ( 296 x 131 ) / 38776

GCD(296, 131) = 38776 / 38776

GCD(296, 131) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 296, 131, 89, 189 is 1

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• GCD of 180, 269, 84, 523
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• GCD of 532, 297, 91, 132

1. What is the GCD of 296, 131, 89, 189?

GCD of 296, 131, 89, 189 is 1

2. Where do I get the detailed procedure to find GCD of 296, 131, 89, 189?

You can find a detailed procedure to find GCD of 296, 131, 89, 189 on our page.

3. How to find GCD of 296, 131, 89, 189 on a calculator?

You can find the GCD of 296, 131, 89, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.