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GCD of 442, 562, 194, 394 Calculator

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


Online GCD Calculator is useful to find the GCD of 442, 562, 194, 394 quickly. Get the easiest ways to solve the greatest common divisor of 442, 562, 194, 394 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 442, 562, 194, 394 with Factoring?

Given Input numbers are 442, 562, 194, 394

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194

Divisors of 394 :

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

1, 2, 197, 394


GCD of numbers is the greatest common divisor

So, the GCD (442, 562, 194, 394) = 2.

Find GCD of 442, 562, 194, 394 using Prime Factorization

Given numbers are 442, 562, 194, 394

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 562 are 2 x 281

Prime factors of 194 are 2 x 97

Prime factors of 394 are 2 x 197

The highest common occurrence is 21

Therefore, GCD of 442, 562, 194, 394 is 2.

Steps to Calculate GCD of 442, 562, 194, 394 using LCM Formula

Given numbers are 442, 562, 194, 394

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

Apply this formula for all numbers.

Step1:

LCM(442, 562) = 124202

GCD(442, 562) = ( 442 x 562 ) / 124202

= 442 / 562

= 442


Step2:

LCM(2, 194) = 194

GCD(2, 194) = ( 2 x 194 ) / 194

= 2 / 194

= 2


Step3:

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

= 2 / 394

= 2


So, Greatest Common Divisor of 442, 562, 194, 394 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 442, 562, 194, 394

Given numbers are 442, 562, 194, 394
The greatest common divisor of numbers 442, 562, 194, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 562, 194, 394 is 2.

FAQs on GCD of 442, 562, 194, 394 Calculator

1. What is the GCD of 442, 562, 194, 394?

GCD of given numbers 442, 562, 194, 394 is 2


2. How to calculate the greatest common divisor of 442, 562, 194, 394?

We can find the highest common divisor of 442, 562, 194, 394 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 442, 562, 194, 394 i.e 2.


3. How can I use the GCD of 442, 562, 194, 394Calculator?

Out the numbers 442, 562, 194, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.