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GCD of 144, 990, 798, 236 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, 990, 798, 236 quickly. Get the easiest ways to solve the greatest common divisor of 144, 990, 798, 236 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 144, 990, 798, 236 with Factoring?

Given Input numbers are 144, 990, 798, 236

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 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236


GCD of numbers is the greatest common divisor

So, the GCD (144, 990, 798, 236) = 2.

Find GCD of 144, 990, 798, 236 using Prime Factorization

Given numbers are 144, 990, 798, 236

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 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 236 are 2 x 2 x 59

The highest common occurrence is 21

Therefore, GCD of 144, 990, 798, 236 is 2.

Steps to Calculate GCD of 144, 990, 798, 236 using LCM Formula

Given numbers are 144, 990, 798, 236

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

Apply this formula for all numbers.

Step1:

LCM(144, 990) = 7920

GCD(144, 990) = ( 144 x 990 ) / 7920

= 144 / 990

= 144


Step2:

LCM(18, 798) = 2394

GCD(18, 798) = ( 18 x 798 ) / 2394

= 18 / 798

= 18


Step3:

LCM(6, 236) = 708

GCD(6, 236) = ( 6 x 236 ) / 708

= 6 / 236

= 6


So, Greatest Common Divisor of 144, 990, 798, 236 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 144, 990, 798, 236

Given numbers are 144, 990, 798, 236
The greatest common divisor of numbers 144, 990, 798, 236 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 990, 798, 236 is 2.

FAQs on GCD of 144, 990, 798, 236 Calculator

1. What is the GCD of 144, 990, 798, 236?

GCD of given numbers 144, 990, 798, 236 is 2


2. How to calculate the greatest common divisor of 144, 990, 798, 236?

We can find the highest common divisor of 144, 990, 798, 236 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, 990, 798, 236 i.e 2.


3. How can I use the GCD of 144, 990, 798, 236Calculator?

Out the numbers 144, 990, 798, 236 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.