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GCD of 814, 513, 349, 438 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, 513, 349, 438 quickly. Get the easiest ways to solve the greatest common divisor of 814, 513, 349, 438 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 814, 513, 349, 438 with Factoring?

Given Input numbers are 814, 513, 349, 438

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 513 :

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

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

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438


GCD of numbers is the greatest common divisor

So, the GCD (814, 513, 349, 438) = 1.

Find GCD of 814, 513, 349, 438 using Prime Factorization

Given numbers are 814, 513, 349, 438

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

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

Prime factors of 349 are 349

Prime factors of 438 are 2 x 3 x 73

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

Steps to Calculate GCD of 814, 513, 349, 438 using LCM Formula

Given numbers are 814, 513, 349, 438

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

Apply this formula for all numbers.

Step1:

LCM(814, 513) = 417582

GCD(814, 513) = ( 814 x 513 ) / 417582

= 814 / 513

= 814


Step2:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1


Step3:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1


So, Greatest Common Divisor of 814, 513, 349, 438 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 814, 513, 349, 438

Given numbers are 814, 513, 349, 438
The greatest common divisor of numbers 814, 513, 349, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 513, 349, 438 is 1.

FAQs on GCD of 814, 513, 349, 438 Calculator

1. What is the GCD of 814, 513, 349, 438?

GCD of given numbers 814, 513, 349, 438 is 1


2. How to calculate the greatest common divisor of 814, 513, 349, 438?

We can find the highest common divisor of 814, 513, 349, 438 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, 513, 349, 438 i.e 1.


3. How can I use the GCD of 814, 513, 349, 438Calculator?

Out the numbers 814, 513, 349, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.