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GCD of 144, 477, 699, 796 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, 477, 699, 796 quickly. Get the easiest ways to solve the greatest common divisor of 144, 477, 699, 796 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 144, 477, 699, 796 with Factoring?

Given Input numbers are 144, 477, 699, 796

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 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796


GCD of numbers is the greatest common divisor

So, the GCD (144, 477, 699, 796) = 1.

Find GCD of 144, 477, 699, 796 using Prime Factorization

Given numbers are 144, 477, 699, 796

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 477 are 3 x 3 x 53

Prime factors of 699 are 3 x 233

Prime factors of 796 are 2 x 2 x 199

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

Steps to Calculate GCD of 144, 477, 699, 796 using LCM Formula

Given numbers are 144, 477, 699, 796

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

Apply this formula for all numbers.

Step1:

LCM(144, 477) = 7632

GCD(144, 477) = ( 144 x 477 ) / 7632

= 144 / 477

= 144


Step2:

LCM(9, 699) = 2097

GCD(9, 699) = ( 9 x 699 ) / 2097

= 9 / 699

= 9


Step3:

LCM(3, 796) = 2388

GCD(3, 796) = ( 3 x 796 ) / 2388

= 3 / 796

= 3


So, Greatest Common Divisor of 144, 477, 699, 796 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 144, 477, 699, 796

Given numbers are 144, 477, 699, 796
The greatest common divisor of numbers 144, 477, 699, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 477, 699, 796 is 1.

FAQs on GCD of 144, 477, 699, 796 Calculator

1. What is the GCD of 144, 477, 699, 796?

GCD of given numbers 144, 477, 699, 796 is 1


2. How to calculate the greatest common divisor of 144, 477, 699, 796?

We can find the highest common divisor of 144, 477, 699, 796 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, 477, 699, 796 i.e 1.


3. How can I use the GCD of 144, 477, 699, 796Calculator?

Out the numbers 144, 477, 699, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.