GCD of 192, 177, 41, 988 Calculator

Given Input numbers are 192, 177, 41, 988

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

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 192, 177, 41, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 192, 177, 41, 988 is 1.

Therefore, GCD of numbers 192, 177, 41, 988 is 1

Given Input Data is 192, 177, 41, 988

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

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 177 is 3 x 59

Prime Factorization of 41 is 41

Prime Factorization of 988 is 2 x 2 x 13 x 19

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(192, 177) = 11328

GCD(192, 177) = ( 192 x 177 ) / 11328

GCD(192, 177) = 33984 / 11328

GCD(192, 177) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 41

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

LCM(3, 41) = 123

GCD(3, 41) = ( 3 x 41 ) / 123

GCD(3, 41) = 123 / 123

GCD(3, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 192, 177, 41, 988 is 1

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1. What is the GCD of 192, 177, 41, 988?

GCD of 192, 177, 41, 988 is 1

2. Where do I get the detailed procedure to find GCD of 192, 177, 41, 988?

You can find a detailed procedure to find GCD of 192, 177, 41, 988 on our page.

3. How to find GCD of 192, 177, 41, 988 on a calculator?

You can find the GCD of 192, 177, 41, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.