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GCD of 442, 264, 574, 331 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, 264, 574, 331 quickly. Get the easiest ways to solve the greatest common divisor of 442, 264, 574, 331 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 442, 264, 574, 331 with Factoring?

Given Input numbers are 442, 264, 574, 331

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 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331


GCD of numbers is the greatest common divisor

So, the GCD (442, 264, 574, 331) = 1.

Find GCD of 442, 264, 574, 331 using Prime Factorization

Given numbers are 442, 264, 574, 331

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 574 are 2 x 7 x 41

Prime factors of 331 are 331

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 442, 264, 574, 331 using LCM Formula

Given numbers are 442, 264, 574, 331

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

Apply this formula for all numbers.

Step1:

LCM(442, 264) = 58344

GCD(442, 264) = ( 442 x 264 ) / 58344

= 442 / 264

= 442


Step2:

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

= 2 / 574

= 2


Step3:

LCM(2, 331) = 662

GCD(2, 331) = ( 2 x 331 ) / 662

= 2 / 331

= 2


So, Greatest Common Divisor of 442, 264, 574, 331 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 442, 264, 574, 331

Given numbers are 442, 264, 574, 331
The greatest common divisor of numbers 442, 264, 574, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 264, 574, 331 is 1.

FAQs on GCD of 442, 264, 574, 331 Calculator

1. What is the GCD of 442, 264, 574, 331?

GCD of given numbers 442, 264, 574, 331 is 1


2. How to calculate the greatest common divisor of 442, 264, 574, 331?

We can find the highest common divisor of 442, 264, 574, 331 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, 264, 574, 331 i.e 1.


3. How can I use the GCD of 442, 264, 574, 331Calculator?

Out the numbers 442, 264, 574, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.