GCD of 189, 984, 34, 161 Calculator

Given Input numbers are 189, 984, 34, 161

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 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 189, 984, 34, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 984, 34, 161 is 1.

Therefore, GCD of numbers 189, 984, 34, 161 is 1

Given Input Data is 189, 984, 34, 161

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 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 34 is 2 x 17

Prime Factorization of 161 is 7 x 23

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, 984) = 61992

GCD(189, 984) = ( 189 x 984 ) / 61992

GCD(189, 984) = 185976 / 61992

GCD(189, 984) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 34

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

LCM(3, 34) = 102

GCD(3, 34) = ( 3 x 34 ) / 102

GCD(3, 34) = 102 / 102

GCD(3, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 161

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

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

GCD(1, 161) = 161 / 161

GCD(1, 161) = 1

GCD of 189, 984, 34, 161 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 396, 97, 714
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• GCD of 927, 160, 49, 888
• GCD of 159, 550, 46, 398
• GCD of 171, 979, 75, 233

1. What is the GCD of 189, 984, 34, 161?

GCD of 189, 984, 34, 161 is 1

2. Where do I get the detailed procedure to find GCD of 189, 984, 34, 161?

You can find a detailed procedure to find GCD of 189, 984, 34, 161 on our page.

3. How to find GCD of 189, 984, 34, 161 on a calculator?

You can find the GCD of 189, 984, 34, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.