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GCD of 804, 180, 620, 492 Calculator

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


Online GCD Calculator is useful to find the GCD of 804, 180, 620, 492 quickly. Get the easiest ways to solve the greatest common divisor of 804, 180, 620, 492 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 804, 180, 620, 492 with Factoring?

Given Input numbers are 804, 180, 620, 492

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

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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 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 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492


GCD of numbers is the greatest common divisor

So, the GCD (804, 180, 620, 492) = 4.

Find GCD of 804, 180, 620, 492 using Prime Factorization

Given numbers are 804, 180, 620, 492

The list of prime factors of all numbers are

Prime factors of 804 are 2 x 2 x 3 x 67

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

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

Prime factors of 492 are 2 x 2 x 3 x 41

The highest common occurrence is 22

Therefore, GCD of 804, 180, 620, 492 is 4.

Steps to Calculate GCD of 804, 180, 620, 492 using LCM Formula

Given numbers are 804, 180, 620, 492

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

Apply this formula for all numbers.

Step1:

LCM(804, 180) = 12060

GCD(804, 180) = ( 804 x 180 ) / 12060

= 804 / 180

= 804


Step2:

LCM(12, 620) = 1860

GCD(12, 620) = ( 12 x 620 ) / 1860

= 12 / 620

= 12


Step3:

LCM(4, 492) = 492

GCD(4, 492) = ( 4 x 492 ) / 492

= 4 / 492

= 4


So, Greatest Common Divisor of 804, 180, 620, 492 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 804, 180, 620, 492

Given numbers are 804, 180, 620, 492
The greatest common divisor of numbers 804, 180, 620, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 180, 620, 492 is 4.

FAQs on GCD of 804, 180, 620, 492 Calculator

1. What is the GCD of 804, 180, 620, 492?

GCD of given numbers 804, 180, 620, 492 is 4


2. How to calculate the greatest common divisor of 804, 180, 620, 492?

We can find the highest common divisor of 804, 180, 620, 492 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 804, 180, 620, 492 i.e 4.


3. How can I use the GCD of 804, 180, 620, 492Calculator?

Out the numbers 804, 180, 620, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.