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GCD of 814, 732, 472, 227 Calculator

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


Online GCD Calculator is useful to find the GCD of 814, 732, 472, 227 quickly. Get the easiest ways to solve the greatest common divisor of 814, 732, 472, 227 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 814, 732, 472, 227 with Factoring?

Given Input numbers are 814, 732, 472, 227

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 227 :

The positive integer divisors of 227 that completely divides 227 are.

1, 227


GCD of numbers is the greatest common divisor

So, the GCD (814, 732, 472, 227) = 1.

Find GCD of 814, 732, 472, 227 using Prime Factorization

Given numbers are 814, 732, 472, 227

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 227 are 227

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

Steps to Calculate GCD of 814, 732, 472, 227 using LCM Formula

Given numbers are 814, 732, 472, 227

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

Apply this formula for all numbers.

Step1:

LCM(814, 732) = 297924

GCD(814, 732) = ( 814 x 732 ) / 297924

= 814 / 732

= 814


Step2:

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

= 2 / 472

= 2


Step3:

LCM(2, 227) = 454

GCD(2, 227) = ( 2 x 227 ) / 454

= 2 / 227

= 2


So, Greatest Common Divisor of 814, 732, 472, 227 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 814, 732, 472, 227

Given numbers are 814, 732, 472, 227
The greatest common divisor of numbers 814, 732, 472, 227 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 732, 472, 227 is 1.

FAQs on GCD of 814, 732, 472, 227 Calculator

1. What is the GCD of 814, 732, 472, 227?

GCD of given numbers 814, 732, 472, 227 is 1


2. How to calculate the greatest common divisor of 814, 732, 472, 227?

We can find the highest common divisor of 814, 732, 472, 227 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 814, 732, 472, 227 i.e 1.


3. How can I use the GCD of 814, 732, 472, 227Calculator?

Out the numbers 814, 732, 472, 227 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.