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GCD of 288, 427, 123, 842 Calculator

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


Online GCD Calculator is useful to find the GCD of 288, 427, 123, 842 quickly. Get the easiest ways to solve the greatest common divisor of 288, 427, 123, 842 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 288, 427, 123, 842 with Factoring?

Given Input numbers are 288, 427, 123, 842

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 427 :

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

1, 7, 61, 427

Divisors of 123 :

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

1, 3, 41, 123

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842


GCD of numbers is the greatest common divisor

So, the GCD (288, 427, 123, 842) = 1.

Find GCD of 288, 427, 123, 842 using Prime Factorization

Given numbers are 288, 427, 123, 842

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 427 are 7 x 61

Prime factors of 123 are 3 x 41

Prime factors of 842 are 2 x 421

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

Steps to Calculate GCD of 288, 427, 123, 842 using LCM Formula

Given numbers are 288, 427, 123, 842

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

Apply this formula for all numbers.

Step1:

LCM(288, 427) = 122976

GCD(288, 427) = ( 288 x 427 ) / 122976

= 288 / 427

= 288


Step2:

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

= 1 / 123

= 1


Step3:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1


So, Greatest Common Divisor of 288, 427, 123, 842 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 288, 427, 123, 842

Given numbers are 288, 427, 123, 842
The greatest common divisor of numbers 288, 427, 123, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 427, 123, 842 is 1.

FAQs on GCD of 288, 427, 123, 842 Calculator

1. What is the GCD of 288, 427, 123, 842?

GCD of given numbers 288, 427, 123, 842 is 1


2. How to calculate the greatest common divisor of 288, 427, 123, 842?

We can find the highest common divisor of 288, 427, 123, 842 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 288, 427, 123, 842 i.e 1.


3. How can I use the GCD of 288, 427, 123, 842Calculator?

Out the numbers 288, 427, 123, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.