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GCD of 144, 321, 478, 835 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, 321, 478, 835 quickly. Get the easiest ways to solve the greatest common divisor of 144, 321, 478, 835 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 144, 321, 478, 835 with Factoring?

Given Input numbers are 144, 321, 478, 835

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 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 835 :

The positive integer divisors of 835 that completely divides 835 are.

1, 5, 167, 835


GCD of numbers is the greatest common divisor

So, the GCD (144, 321, 478, 835) = 1.

Find GCD of 144, 321, 478, 835 using Prime Factorization

Given numbers are 144, 321, 478, 835

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 321 are 3 x 107

Prime factors of 478 are 2 x 239

Prime factors of 835 are 5 x 167

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

Steps to Calculate GCD of 144, 321, 478, 835 using LCM Formula

Given numbers are 144, 321, 478, 835

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

Apply this formula for all numbers.

Step1:

LCM(144, 321) = 15408

GCD(144, 321) = ( 144 x 321 ) / 15408

= 144 / 321

= 144


Step2:

LCM(3, 478) = 1434

GCD(3, 478) = ( 3 x 478 ) / 1434

= 3 / 478

= 3


Step3:

LCM(1, 835) = 835

GCD(1, 835) = ( 1 x 835 ) / 835

= 1 / 835

= 1


So, Greatest Common Divisor of 144, 321, 478, 835 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 144, 321, 478, 835

Given numbers are 144, 321, 478, 835
The greatest common divisor of numbers 144, 321, 478, 835 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 321, 478, 835 is 1.

FAQs on GCD of 144, 321, 478, 835 Calculator

1. What is the GCD of 144, 321, 478, 835?

GCD of given numbers 144, 321, 478, 835 is 1


2. How to calculate the greatest common divisor of 144, 321, 478, 835?

We can find the highest common divisor of 144, 321, 478, 835 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, 321, 478, 835 i.e 1.


3. How can I use the GCD of 144, 321, 478, 835Calculator?

Out the numbers 144, 321, 478, 835 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.