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GCD of 342, 258, 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 342, 258, 476, 804 quickly. Get the easiest ways to solve the greatest common divisor of 342, 258, 476, 804 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 342, 258, 476, 804 with Factoring?

Given Input numbers are 342, 258, 476, 804

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

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 (342, 258, 476, 804) = 2.

Find GCD of 342, 258, 476, 804 using Prime Factorization

Given numbers are 342, 258, 476, 804

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 258 are 2 x 3 x 43

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 21

Therefore, GCD of 342, 258, 476, 804 is 2.

Steps to Calculate GCD of 342, 258, 476, 804 using LCM Formula

Given numbers are 342, 258, 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(342, 258) = 14706

GCD(342, 258) = ( 342 x 258 ) / 14706

= 342 / 258

= 342


Step2:

LCM(6, 476) = 1428

GCD(6, 476) = ( 6 x 476 ) / 1428

= 6 / 476

= 6


Step3:

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

= 2 / 804

= 2


So, Greatest Common Divisor of 342, 258, 476, 804 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 342, 258, 476, 804

Given numbers are 342, 258, 476, 804
The greatest common divisor of numbers 342, 258, 476, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 258, 476, 804 is 2.

FAQs on GCD of 342, 258, 476, 804 Calculator

1. What is the GCD of 342, 258, 476, 804?

GCD of given numbers 342, 258, 476, 804 is 2


2. How to calculate the greatest common divisor of 342, 258, 476, 804?

We can find the highest common divisor of 342, 258, 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 342, 258, 476, 804 i.e 2.


3. How can I use the GCD of 342, 258, 476, 804Calculator?

Out the numbers 342, 258, 476, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.