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GCD of 846, 810, 342, 621 Calculator

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


Online GCD Calculator is useful to find the GCD of 846, 810, 342, 621 quickly. Get the easiest ways to solve the greatest common divisor of 846, 810, 342, 621 i.e 9 in different methods as follows.

GCD of

How to Find GCD of Numbers 846, 810, 342, 621 with Factoring?

Given Input numbers are 846, 810, 342, 621

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

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621


GCD of numbers is the greatest common divisor

So, the GCD (846, 810, 342, 621) = 9.

Find GCD of 846, 810, 342, 621 using Prime Factorization

Given numbers are 846, 810, 342, 621

The list of prime factors of all numbers are

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 621 are 3 x 3 x 3 x 23

The highest common occurrence is 32

Therefore, GCD of 846, 810, 342, 621 is 9.

Steps to Calculate GCD of 846, 810, 342, 621 using LCM Formula

Given numbers are 846, 810, 342, 621

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

Apply this formula for all numbers.

Step1:

LCM(846, 810) = 38070

GCD(846, 810) = ( 846 x 810 ) / 38070

= 846 / 810

= 846


Step2:

LCM(18, 342) = 342

GCD(18, 342) = ( 18 x 342 ) / 342

= 18 / 342

= 18


Step3:

LCM(18, 621) = 1242

GCD(18, 621) = ( 18 x 621 ) / 1242

= 18 / 621

= 18


So, Greatest Common Divisor of 846, 810, 342, 621 is 9

GCD of Numbers Calculation Examples

Greatest Common Divisor of 846, 810, 342, 621

Given numbers are 846, 810, 342, 621
The greatest common divisor of numbers 846, 810, 342, 621 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 846, 810, 342, 621 is 9.

FAQs on GCD of 846, 810, 342, 621 Calculator

1. What is the GCD of 846, 810, 342, 621?

GCD of given numbers 846, 810, 342, 621 is 9


2. How to calculate the greatest common divisor of 846, 810, 342, 621?

We can find the highest common divisor of 846, 810, 342, 621 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 846, 810, 342, 621 i.e 9.


3. How can I use the GCD of 846, 810, 342, 621Calculator?

Out the numbers 846, 810, 342, 621 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.