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GCD of 810, 343, 85 Calculator

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


Online GCD Calculator is useful to find the GCD of 810, 343, 85 quickly. Get the easiest ways to solve the greatest common divisor of 810, 343, 85 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 810, 343, 85 with Factoring?

Given Input numbers are 810, 343, 85

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

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 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 85 :

The positive integer divisors of 85 that completely divides 85 are.

1, 5, 17, 85


GCD of numbers is the greatest common divisor

So, the GCD (810, 343, 85) = 1.

Find GCD of 810, 343, 85 using Prime Factorization

Given numbers are 810, 343, 85

The list of prime factors of all numbers are

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

Prime factors of 343 are 7 x 7 x 7

Prime factors of 85 are 5 x 17

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

Steps to Calculate GCD of 810, 343, 85 using LCM Formula

Given numbers are 810, 343, 85

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

Apply this formula for all numbers.

Step1:

LCM(810, 343) = 277830

GCD(810, 343) = ( 810 x 343 ) / 277830

= 810 / 343

= 810


Step2:

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

= 1 / 85

= 1


So, Greatest Common Divisor of 810, 343, 85 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 810, 343, 85

Given numbers are 810, 343, 85
The greatest common divisor of numbers 810, 343, 85 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 810, 343, 85 is 1.

FAQs on GCD of 810, 343, 85 Calculator

1. What is the GCD of 810, 343, 85?

GCD of given numbers 810, 343, 85 is 1


2. How to calculate the greatest common divisor of 810, 343, 85?

We can find the highest common divisor of 810, 343, 85 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 810, 343, 85 i.e 1.


3. How can I use the GCD of 810, 343, 85Calculator?

Out the numbers 810, 343, 85 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.