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GCD of 559, 349, 83 Calculator

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


Online GCD Calculator is useful to find the GCD of 559, 349, 83 quickly. Get the easiest ways to solve the greatest common divisor of 559, 349, 83 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 559, 349, 83 with Factoring?

Given Input numbers are 559, 349, 83

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

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

Divisors of 349 :

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

1, 349

Divisors of 83 :

The positive integer divisors of 83 that completely divides 83 are.

1, 83


GCD of numbers is the greatest common divisor

So, the GCD (559, 349, 83) = 1.

Find GCD of 559, 349, 83 using Prime Factorization

Given numbers are 559, 349, 83

The list of prime factors of all numbers are

Prime factors of 559 are 13 x 43

Prime factors of 349 are 349

Prime factors of 83 are 83

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

Steps to Calculate GCD of 559, 349, 83 using LCM Formula

Given numbers are 559, 349, 83

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

Apply this formula for all numbers.

Step1:

LCM(559, 349) = 195091

GCD(559, 349) = ( 559 x 349 ) / 195091

= 559 / 349

= 559


Step2:

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

= 1 / 83

= 1


So, Greatest Common Divisor of 559, 349, 83 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 559, 349, 83

Given numbers are 559, 349, 83
The greatest common divisor of numbers 559, 349, 83 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 559, 349, 83 is 1.

FAQs on GCD of 559, 349, 83 Calculator

1. What is the GCD of 559, 349, 83?

GCD of given numbers 559, 349, 83 is 1


2. How to calculate the greatest common divisor of 559, 349, 83?

We can find the highest common divisor of 559, 349, 83 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 559, 349, 83 i.e 1.


3. How can I use the GCD of 559, 349, 83Calculator?

Out the numbers 559, 349, 83 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.