GCD of 123, 692, 73, 891 Calculator

Given Input numbers are 123, 692, 73, 891

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 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 123, 692, 73, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 692, 73, 891 is 1.

Therefore, GCD of numbers 123, 692, 73, 891 is 1

Given Input Data is 123, 692, 73, 891

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 73 is 73

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

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, 692) = 85116

GCD(123, 692) = ( 123 x 692 ) / 85116

GCD(123, 692) = 85116 / 85116

GCD(123, 692) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

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

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1

GCD of 123, 692, 73, 891 is 1

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1. What is the GCD of 123, 692, 73, 891?

GCD of 123, 692, 73, 891 is 1

2. Where do I get the detailed procedure to find GCD of 123, 692, 73, 891?

You can find a detailed procedure to find GCD of 123, 692, 73, 891 on our page.

3. How to find GCD of 123, 692, 73, 891 on a calculator?

You can find the GCD of 123, 692, 73, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.