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GCD of 164, 656, 476, 804 Calculator

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


Online GCD Calculator is useful to find the GCD of 164, 656, 476, 804 quickly. Get the easiest ways to solve the greatest common divisor of 164, 656, 476, 804 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 164, 656, 476, 804 with Factoring?

Given Input numbers are 164, 656, 476, 804

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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


GCD of numbers is the greatest common divisor

So, the GCD (164, 656, 476, 804) = 4.

Find GCD of 164, 656, 476, 804 using Prime Factorization

Given numbers are 164, 656, 476, 804

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 476 are 2 x 2 x 7 x 17

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

The highest common occurrence is 22

Therefore, GCD of 164, 656, 476, 804 is 4.

Steps to Calculate GCD of 164, 656, 476, 804 using LCM Formula

Given numbers are 164, 656, 476, 804

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

Apply this formula for all numbers.

Step1:

LCM(164, 656) = 656

GCD(164, 656) = ( 164 x 656 ) / 656

= 164 / 656

= 164


Step2:

LCM(164, 476) = 19516

GCD(164, 476) = ( 164 x 476 ) / 19516

= 164 / 476

= 164


Step3:

LCM(4, 804) = 804

GCD(4, 804) = ( 4 x 804 ) / 804

= 4 / 804

= 4


So, Greatest Common Divisor of 164, 656, 476, 804 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 164, 656, 476, 804

Given numbers are 164, 656, 476, 804
The greatest common divisor of numbers 164, 656, 476, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 656, 476, 804 is 4.

FAQs on GCD of 164, 656, 476, 804 Calculator

1. What is the GCD of 164, 656, 476, 804?

GCD of given numbers 164, 656, 476, 804 is 4


2. How to calculate the greatest common divisor of 164, 656, 476, 804?

We can find the highest common divisor of 164, 656, 476, 804 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 164, 656, 476, 804 i.e 4.


3. How can I use the GCD of 164, 656, 476, 804Calculator?

Out the numbers 164, 656, 476, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.