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GCD of 394, 364, 840, 188 Calculator

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


Online GCD Calculator is useful to find the GCD of 394, 364, 840, 188 quickly. Get the easiest ways to solve the greatest common divisor of 394, 364, 840, 188 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 394, 364, 840, 188 with Factoring?

Given Input numbers are 394, 364, 840, 188

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

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188


GCD of numbers is the greatest common divisor

So, the GCD (394, 364, 840, 188) = 2.

Find GCD of 394, 364, 840, 188 using Prime Factorization

Given numbers are 394, 364, 840, 188

The list of prime factors of all numbers are

Prime factors of 394 are 2 x 197

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 188 are 2 x 2 x 47

The highest common occurrence is 21

Therefore, GCD of 394, 364, 840, 188 is 2.

Steps to Calculate GCD of 394, 364, 840, 188 using LCM Formula

Given numbers are 394, 364, 840, 188

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

Apply this formula for all numbers.

Step1:

LCM(394, 364) = 71708

GCD(394, 364) = ( 394 x 364 ) / 71708

= 394 / 364

= 394


Step2:

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

= 2 / 840

= 2


Step3:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2


So, Greatest Common Divisor of 394, 364, 840, 188 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 394, 364, 840, 188

Given numbers are 394, 364, 840, 188
The greatest common divisor of numbers 394, 364, 840, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 394, 364, 840, 188 is 2.

FAQs on GCD of 394, 364, 840, 188 Calculator

1. What is the GCD of 394, 364, 840, 188?

GCD of given numbers 394, 364, 840, 188 is 2


2. How to calculate the greatest common divisor of 394, 364, 840, 188?

We can find the highest common divisor of 394, 364, 840, 188 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 394, 364, 840, 188 i.e 2.


3. How can I use the GCD of 394, 364, 840, 188Calculator?

Out the numbers 394, 364, 840, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.