GCD of 123, 177, 93, 898 Calculator

Given Input numbers are 123, 177, 93, 898

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 177

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

1, 3, 59, 177

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 123, 177, 93, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 177, 93, 898 is 1.

Therefore, GCD of numbers 123, 177, 93, 898 is 1

Given Input Data is 123, 177, 93, 898

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 177 is 3 x 59

Prime Factorization of 93 is 3 x 31

Prime Factorization of 898 is 2 x 449

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(123, 177) = 7257

GCD(123, 177) = ( 123 x 177 ) / 7257

GCD(123, 177) = 21771 / 7257

GCD(123, 177) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 93

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

LCM(3, 93) = 93

GCD(3, 93) = ( 3 x 93 ) / 93

GCD(3, 93) = 279 / 93

GCD(3, 93) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 898

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

LCM(3, 898) = 2694

GCD(3, 898) = ( 3 x 898 ) / 2694

GCD(3, 898) = 2694 / 2694

GCD(3, 898) = 1

GCD of 123, 177, 93, 898 is 1

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1. What is the GCD of 123, 177, 93, 898?

GCD of 123, 177, 93, 898 is 1

2. Where do I get the detailed procedure to find GCD of 123, 177, 93, 898?

You can find a detailed procedure to find GCD of 123, 177, 93, 898 on our page.

3. How to find GCD of 123, 177, 93, 898 on a calculator?

You can find the GCD of 123, 177, 93, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.