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GCD of 513, 227, 420 Calculator

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


Online GCD Calculator is useful to find the GCD of 513, 227, 420 quickly. Get the easiest ways to solve the greatest common divisor of 513, 227, 420 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 513, 227, 420 with Factoring?

Given Input numbers are 513, 227, 420

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 227 :

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

1, 227

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420


GCD of numbers is the greatest common divisor

So, the GCD (513, 227, 420) = 1.

Find GCD of 513, 227, 420 using Prime Factorization

Given numbers are 513, 227, 420

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 227 are 227

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Steps to Calculate GCD of 513, 227, 420 using LCM Formula

Given numbers are 513, 227, 420

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

Apply this formula for all numbers.

Step1:

LCM(513, 227) = 116451

GCD(513, 227) = ( 513 x 227 ) / 116451

= 513 / 227

= 513


Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1


So, Greatest Common Divisor of 513, 227, 420 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 513, 227, 420

Given numbers are 513, 227, 420
The greatest common divisor of numbers 513, 227, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 227, 420 is 1.

FAQs on GCD of 513, 227, 420 Calculator

1. What is the GCD of 513, 227, 420?

GCD of given numbers 513, 227, 420 is 1


2. How to calculate the greatest common divisor of 513, 227, 420?

We can find the highest common divisor of 513, 227, 420 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 513, 227, 420 i.e 1.


3. How can I use the GCD of 513, 227, 420Calculator?

Out the numbers 513, 227, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.