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GCD of 814, 213, 34 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, 213, 34 quickly. Get the easiest ways to solve the greatest common divisor of 814, 213, 34 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 814, 213, 34 with Factoring?

Given Input numbers are 814, 213, 34

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 34 :

The positive integer divisors of 34 that completely divides 34 are.

1, 2, 17, 34


GCD of numbers is the greatest common divisor

So, the GCD (814, 213, 34) = 1.

Find GCD of 814, 213, 34 using Prime Factorization

Given numbers are 814, 213, 34

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 213 are 3 x 71

Prime factors of 34 are 2 x 17

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

Steps to Calculate GCD of 814, 213, 34 using LCM Formula

Given numbers are 814, 213, 34

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

Apply this formula for all numbers.

Step1:

LCM(814, 213) = 173382

GCD(814, 213) = ( 814 x 213 ) / 173382

= 814 / 213

= 814


Step2:

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

= 1 / 34

= 1


So, Greatest Common Divisor of 814, 213, 34 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 814, 213, 34

Given numbers are 814, 213, 34
The greatest common divisor of numbers 814, 213, 34 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 213, 34 is 1.

FAQs on GCD of 814, 213, 34 Calculator

1. What is the GCD of 814, 213, 34?

GCD of given numbers 814, 213, 34 is 1


2. How to calculate the greatest common divisor of 814, 213, 34?

We can find the highest common divisor of 814, 213, 34 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, 213, 34 i.e 1.


3. How can I use the GCD of 814, 213, 34Calculator?

Out the numbers 814, 213, 34 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.