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GCD of 123, 897, 894, 427 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 123, 897, 894, 427 quickly. Get the easiest ways to solve the greatest common divisor of 123, 897, 894, 427 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 123, 897, 894, 427 with Factoring?

Given Input numbers are 123, 897, 894, 427

In the factoring method, we have to find the divisors of all numbers

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427


GCD of numbers is the greatest common divisor

So, the GCD (123, 897, 894, 427) = 1.

Find GCD of 123, 897, 894, 427 using Prime Factorization

Given numbers are 123, 897, 894, 427

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 897 are 3 x 13 x 23

Prime factors of 894 are 2 x 3 x 149

Prime factors of 427 are 7 x 61

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 123, 897, 894, 427 using LCM Formula

Given numbers are 123, 897, 894, 427

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(123, 897) = 36777

GCD(123, 897) = ( 123 x 897 ) / 36777

= 123 / 897

= 123


Step2:

LCM(3, 894) = 894

GCD(3, 894) = ( 3 x 894 ) / 894

= 3 / 894

= 3


Step3:

LCM(3, 427) = 1281

GCD(3, 427) = ( 3 x 427 ) / 1281

= 3 / 427

= 3


So, Greatest Common Divisor of 123, 897, 894, 427 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 123, 897, 894, 427

Given numbers are 123, 897, 894, 427
The greatest common divisor of numbers 123, 897, 894, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 897, 894, 427 is 1.

FAQs on GCD of 123, 897, 894, 427 Calculator

1. What is the GCD of 123, 897, 894, 427?

GCD of given numbers 123, 897, 894, 427 is 1


2. How to calculate the greatest common divisor of 123, 897, 894, 427?

We can find the highest common divisor of 123, 897, 894, 427 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 123, 897, 894, 427 i.e 1.


3. How can I use the GCD of 123, 897, 894, 427Calculator?

Out the numbers 123, 897, 894, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.