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GCD of 144, 466, 240, 495 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, 240, 495 quickly. Get the easiest ways to solve the greatest common divisor of 144, 466, 240, 495 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 144, 466, 240, 495 with Factoring?

Given Input numbers are 144, 466, 240, 495

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 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495


GCD of numbers is the greatest common divisor

So, the GCD (144, 466, 240, 495) = 1.

Find GCD of 144, 466, 240, 495 using Prime Factorization

Given numbers are 144, 466, 240, 495

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 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 495 are 3 x 3 x 5 x 11

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

Steps to Calculate GCD of 144, 466, 240, 495 using LCM Formula

Given numbers are 144, 466, 240, 495

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, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2


Step3:

LCM(2, 495) = 990

GCD(2, 495) = ( 2 x 495 ) / 990

= 2 / 495

= 2


So, Greatest Common Divisor of 144, 466, 240, 495 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 144, 466, 240, 495

Given numbers are 144, 466, 240, 495
The greatest common divisor of numbers 144, 466, 240, 495 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 466, 240, 495 is 1.

FAQs on GCD of 144, 466, 240, 495 Calculator

1. What is the GCD of 144, 466, 240, 495?

GCD of given numbers 144, 466, 240, 495 is 1


2. How to calculate the greatest common divisor of 144, 466, 240, 495?

We can find the highest common divisor of 144, 466, 240, 495 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, 240, 495 i.e 1.


3. How can I use the GCD of 144, 466, 240, 495Calculator?

Out the numbers 144, 466, 240, 495 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.