GCD of 183, 989, 345, 197 Calculator

Given Input numbers are 183, 989, 345, 197

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

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Greatest Common Divisior

We found the divisors of 183, 989, 345, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 183, 989, 345, 197 is 1.

Therefore, GCD of numbers 183, 989, 345, 197 is 1

Given Input Data is 183, 989, 345, 197

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

Prime Factorization of 183 is 3 x 61

Prime Factorization of 989 is 23 x 43

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 197 is 197

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(183, 989) = 180987

GCD(183, 989) = ( 183 x 989 ) / 180987

GCD(183, 989) = 180987 / 180987

GCD(183, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 197

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

LCM(1, 197) = 197

GCD(1, 197) = ( 1 x 197 ) / 197

GCD(1, 197) = 197 / 197

GCD(1, 197) = 1

GCD of 183, 989, 345, 197 is 1

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1. What is the GCD of 183, 989, 345, 197?

GCD of 183, 989, 345, 197 is 1

2. Where do I get the detailed procedure to find GCD of 183, 989, 345, 197?

You can find a detailed procedure to find GCD of 183, 989, 345, 197 on our page.

3. How to find GCD of 183, 989, 345, 197 on a calculator?

You can find the GCD of 183, 989, 345, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.