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GCD of 304, 361, 565, 421 Calculator

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


Online GCD Calculator is useful to find the GCD of 304, 361, 565, 421 quickly. Get the easiest ways to solve the greatest common divisor of 304, 361, 565, 421 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 304, 361, 565, 421 with Factoring?

Given Input numbers are 304, 361, 565, 421

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421


GCD of numbers is the greatest common divisor

So, the GCD (304, 361, 565, 421) = 1.

Find GCD of 304, 361, 565, 421 using Prime Factorization

Given numbers are 304, 361, 565, 421

The list of prime factors of all numbers are

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 361 are 19 x 19

Prime factors of 565 are 5 x 113

Prime factors of 421 are 421

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

Steps to Calculate GCD of 304, 361, 565, 421 using LCM Formula

Given numbers are 304, 361, 565, 421

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

Apply this formula for all numbers.

Step1:

LCM(304, 361) = 5776

GCD(304, 361) = ( 304 x 361 ) / 5776

= 304 / 361

= 304


Step2:

LCM(19, 565) = 10735

GCD(19, 565) = ( 19 x 565 ) / 10735

= 19 / 565

= 19


Step3:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1


So, Greatest Common Divisor of 304, 361, 565, 421 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 304, 361, 565, 421

Given numbers are 304, 361, 565, 421
The greatest common divisor of numbers 304, 361, 565, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 361, 565, 421 is 1.

FAQs on GCD of 304, 361, 565, 421 Calculator

1. What is the GCD of 304, 361, 565, 421?

GCD of given numbers 304, 361, 565, 421 is 1


2. How to calculate the greatest common divisor of 304, 361, 565, 421?

We can find the highest common divisor of 304, 361, 565, 421 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 304, 361, 565, 421 i.e 1.


3. How can I use the GCD of 304, 361, 565, 421Calculator?

Out the numbers 304, 361, 565, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.