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GCD of 442, 604, 240, 794 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, 604, 240, 794 quickly. Get the easiest ways to solve the greatest common divisor of 442, 604, 240, 794 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 442, 604, 240, 794 with Factoring?

Given Input numbers are 442, 604, 240, 794

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 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794


GCD of numbers is the greatest common divisor

So, the GCD (442, 604, 240, 794) = 2.

Find GCD of 442, 604, 240, 794 using Prime Factorization

Given numbers are 442, 604, 240, 794

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 604 are 2 x 2 x 151

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 794 are 2 x 397

The highest common occurrence is 21

Therefore, GCD of 442, 604, 240, 794 is 2.

Steps to Calculate GCD of 442, 604, 240, 794 using LCM Formula

Given numbers are 442, 604, 240, 794

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

Apply this formula for all numbers.

Step1:

LCM(442, 604) = 133484

GCD(442, 604) = ( 442 x 604 ) / 133484

= 442 / 604

= 442


Step2:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2


Step3:

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

= 2 / 794

= 2


So, Greatest Common Divisor of 442, 604, 240, 794 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 442, 604, 240, 794

Given numbers are 442, 604, 240, 794
The greatest common divisor of numbers 442, 604, 240, 794 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 604, 240, 794 is 2.

FAQs on GCD of 442, 604, 240, 794 Calculator

1. What is the GCD of 442, 604, 240, 794?

GCD of given numbers 442, 604, 240, 794 is 2


2. How to calculate the greatest common divisor of 442, 604, 240, 794?

We can find the highest common divisor of 442, 604, 240, 794 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, 604, 240, 794 i.e 2.


3. How can I use the GCD of 442, 604, 240, 794Calculator?

Out the numbers 442, 604, 240, 794 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.