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GCD of 178, 796, 184, 820 Calculator

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


Online GCD Calculator is useful to find the GCD of 178, 796, 184, 820 quickly. Get the easiest ways to solve the greatest common divisor of 178, 796, 184, 820 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 178, 796, 184, 820 with Factoring?

Given Input numbers are 178, 796, 184, 820

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

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 796 :

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

1, 2, 4, 199, 398, 796

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820


GCD of numbers is the greatest common divisor

So, the GCD (178, 796, 184, 820) = 2.

Find GCD of 178, 796, 184, 820 using Prime Factorization

Given numbers are 178, 796, 184, 820

The list of prime factors of all numbers are

Prime factors of 178 are 2 x 89

Prime factors of 796 are 2 x 2 x 199

Prime factors of 184 are 2 x 2 x 2 x 23

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 21

Therefore, GCD of 178, 796, 184, 820 is 2.

Steps to Calculate GCD of 178, 796, 184, 820 using LCM Formula

Given numbers are 178, 796, 184, 820

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

Apply this formula for all numbers.

Step1:

LCM(178, 796) = 70844

GCD(178, 796) = ( 178 x 796 ) / 70844

= 178 / 796

= 178


Step2:

LCM(2, 184) = 184

GCD(2, 184) = ( 2 x 184 ) / 184

= 2 / 184

= 2


Step3:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2


So, Greatest Common Divisor of 178, 796, 184, 820 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 178, 796, 184, 820

Given numbers are 178, 796, 184, 820
The greatest common divisor of numbers 178, 796, 184, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 178, 796, 184, 820 is 2.

FAQs on GCD of 178, 796, 184, 820 Calculator

1. What is the GCD of 178, 796, 184, 820?

GCD of given numbers 178, 796, 184, 820 is 2


2. How to calculate the greatest common divisor of 178, 796, 184, 820?

We can find the highest common divisor of 178, 796, 184, 820 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 178, 796, 184, 820 i.e 2.


3. How can I use the GCD of 178, 796, 184, 820Calculator?

Out the numbers 178, 796, 184, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.