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GCD of 380, 804, 358, 594 Calculator

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


Online GCD Calculator is useful to find the GCD of 380, 804, 358, 594 quickly. Get the easiest ways to solve the greatest common divisor of 380, 804, 358, 594 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 380, 804, 358, 594 with Factoring?

Given Input numbers are 380, 804, 358, 594

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594


GCD of numbers is the greatest common divisor

So, the GCD (380, 804, 358, 594) = 2.

Find GCD of 380, 804, 358, 594 using Prime Factorization

Given numbers are 380, 804, 358, 594

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

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

Prime factors of 358 are 2 x 179

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

The highest common occurrence is 21

Therefore, GCD of 380, 804, 358, 594 is 2.

Steps to Calculate GCD of 380, 804, 358, 594 using LCM Formula

Given numbers are 380, 804, 358, 594

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

Apply this formula for all numbers.

Step1:

LCM(380, 804) = 76380

GCD(380, 804) = ( 380 x 804 ) / 76380

= 380 / 804

= 380


Step2:

LCM(4, 358) = 716

GCD(4, 358) = ( 4 x 358 ) / 716

= 4 / 358

= 4


Step3:

LCM(2, 594) = 594

GCD(2, 594) = ( 2 x 594 ) / 594

= 2 / 594

= 2


So, Greatest Common Divisor of 380, 804, 358, 594 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 380, 804, 358, 594

Given numbers are 380, 804, 358, 594
The greatest common divisor of numbers 380, 804, 358, 594 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 804, 358, 594 is 2.

FAQs on GCD of 380, 804, 358, 594 Calculator

1. What is the GCD of 380, 804, 358, 594?

GCD of given numbers 380, 804, 358, 594 is 2


2. How to calculate the greatest common divisor of 380, 804, 358, 594?

We can find the highest common divisor of 380, 804, 358, 594 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 380, 804, 358, 594 i.e 2.


3. How can I use the GCD of 380, 804, 358, 594Calculator?

Out the numbers 380, 804, 358, 594 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.