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GCD of 420, 321, 865 Calculator

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


Online GCD Calculator is useful to find the GCD of 420, 321, 865 quickly. Get the easiest ways to solve the greatest common divisor of 420, 321, 865 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 420, 321, 865 with Factoring?

Given Input numbers are 420, 321, 865

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

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

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865


GCD of numbers is the greatest common divisor

So, the GCD (420, 321, 865) = 1.

Find GCD of 420, 321, 865 using Prime Factorization

Given numbers are 420, 321, 865

The list of prime factors of all numbers are

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

Prime factors of 321 are 3 x 107

Prime factors of 865 are 5 x 173

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

Steps to Calculate GCD of 420, 321, 865 using LCM Formula

Given numbers are 420, 321, 865

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

Apply this formula for all numbers.

Step1:

LCM(420, 321) = 44940

GCD(420, 321) = ( 420 x 321 ) / 44940

= 420 / 321

= 420


Step2:

LCM(3, 865) = 2595

GCD(3, 865) = ( 3 x 865 ) / 2595

= 3 / 865

= 3


So, Greatest Common Divisor of 420, 321, 865 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 420, 321, 865

Given numbers are 420, 321, 865
The greatest common divisor of numbers 420, 321, 865 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 321, 865 is 1.

FAQs on GCD of 420, 321, 865 Calculator

1. What is the GCD of 420, 321, 865?

GCD of given numbers 420, 321, 865 is 1


2. How to calculate the greatest common divisor of 420, 321, 865?

We can find the highest common divisor of 420, 321, 865 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 420, 321, 865 i.e 1.


3. How can I use the GCD of 420, 321, 865Calculator?

Out the numbers 420, 321, 865 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.