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GCD of 620, 180, 144, 388 Calculator

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


Online GCD Calculator is useful to find the GCD of 620, 180, 144, 388 quickly. Get the easiest ways to solve the greatest common divisor of 620, 180, 144, 388 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 620, 180, 144, 388 with Factoring?

Given Input numbers are 620, 180, 144, 388

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

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388


GCD of numbers is the greatest common divisor

So, the GCD (620, 180, 144, 388) = 4.

Find GCD of 620, 180, 144, 388 using Prime Factorization

Given numbers are 620, 180, 144, 388

The list of prime factors of all numbers are

Prime factors of 620 are 2 x 2 x 5 x 31

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Prime factors of 388 are 2 x 2 x 97

The highest common occurrence is 22

Therefore, GCD of 620, 180, 144, 388 is 4.

Steps to Calculate GCD of 620, 180, 144, 388 using LCM Formula

Given numbers are 620, 180, 144, 388

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

Apply this formula for all numbers.

Step1:

LCM(620, 180) = 5580

GCD(620, 180) = ( 620 x 180 ) / 5580

= 620 / 180

= 620


Step2:

LCM(20, 144) = 720

GCD(20, 144) = ( 20 x 144 ) / 720

= 20 / 144

= 20


Step3:

LCM(4, 388) = 388

GCD(4, 388) = ( 4 x 388 ) / 388

= 4 / 388

= 4


So, Greatest Common Divisor of 620, 180, 144, 388 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 620, 180, 144, 388

Given numbers are 620, 180, 144, 388
The greatest common divisor of numbers 620, 180, 144, 388 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 620, 180, 144, 388 is 4.

FAQs on GCD of 620, 180, 144, 388 Calculator

1. What is the GCD of 620, 180, 144, 388?

GCD of given numbers 620, 180, 144, 388 is 4


2. How to calculate the greatest common divisor of 620, 180, 144, 388?

We can find the highest common divisor of 620, 180, 144, 388 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 620, 180, 144, 388 i.e 4.


3. How can I use the GCD of 620, 180, 144, 388Calculator?

Out the numbers 620, 180, 144, 388 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.