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GCD of 144, 466, 918, 793 Calculator

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


Online GCD Calculator is useful to find the GCD of 144, 466, 918, 793 quickly. Get the easiest ways to solve the greatest common divisor of 144, 466, 918, 793 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 144, 466, 918, 793 with Factoring?

Given Input numbers are 144, 466, 918, 793

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

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

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 793 :

The positive integer divisors of 793 that completely divides 793 are.

1, 13, 61, 793


GCD of numbers is the greatest common divisor

So, the GCD (144, 466, 918, 793) = 1.

Find GCD of 144, 466, 918, 793 using Prime Factorization

Given numbers are 144, 466, 918, 793

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 466 are 2 x 233

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 793 are 13 x 61

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

Steps to Calculate GCD of 144, 466, 918, 793 using LCM Formula

Given numbers are 144, 466, 918, 793

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

Apply this formula for all numbers.

Step1:

LCM(144, 466) = 33552

GCD(144, 466) = ( 144 x 466 ) / 33552

= 144 / 466

= 144


Step2:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2


Step3:

LCM(2, 793) = 1586

GCD(2, 793) = ( 2 x 793 ) / 1586

= 2 / 793

= 2


So, Greatest Common Divisor of 144, 466, 918, 793 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 144, 466, 918, 793

Given numbers are 144, 466, 918, 793
The greatest common divisor of numbers 144, 466, 918, 793 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 466, 918, 793 is 1.

FAQs on GCD of 144, 466, 918, 793 Calculator

1. What is the GCD of 144, 466, 918, 793?

GCD of given numbers 144, 466, 918, 793 is 1


2. How to calculate the greatest common divisor of 144, 466, 918, 793?

We can find the highest common divisor of 144, 466, 918, 793 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 144, 466, 918, 793 i.e 1.


3. How can I use the GCD of 144, 466, 918, 793Calculator?

Out the numbers 144, 466, 918, 793 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.