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GCD of 369, 533, 398, 806 Calculator

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


Online GCD Calculator is useful to find the GCD of 369, 533, 398, 806 quickly. Get the easiest ways to solve the greatest common divisor of 369, 533, 398, 806 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 369, 533, 398, 806 with Factoring?

Given Input numbers are 369, 533, 398, 806

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 533 :

The positive integer divisors of 533 that completely divides 533 are.

1, 13, 41, 533

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 806 :

The positive integer divisors of 806 that completely divides 806 are.

1, 2, 13, 26, 31, 62, 403, 806


GCD of numbers is the greatest common divisor

So, the GCD (369, 533, 398, 806) = 1.

Find GCD of 369, 533, 398, 806 using Prime Factorization

Given numbers are 369, 533, 398, 806

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 533 are 13 x 41

Prime factors of 398 are 2 x 199

Prime factors of 806 are 2 x 13 x 31

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

Steps to Calculate GCD of 369, 533, 398, 806 using LCM Formula

Given numbers are 369, 533, 398, 806

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

Apply this formula for all numbers.

Step1:

LCM(369, 533) = 4797

GCD(369, 533) = ( 369 x 533 ) / 4797

= 369 / 533

= 369


Step2:

LCM(41, 398) = 16318

GCD(41, 398) = ( 41 x 398 ) / 16318

= 41 / 398

= 41


Step3:

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

= 1 / 806

= 1


So, Greatest Common Divisor of 369, 533, 398, 806 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 369, 533, 398, 806

Given numbers are 369, 533, 398, 806
The greatest common divisor of numbers 369, 533, 398, 806 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 533, 398, 806 is 1.

FAQs on GCD of 369, 533, 398, 806 Calculator

1. What is the GCD of 369, 533, 398, 806?

GCD of given numbers 369, 533, 398, 806 is 1


2. How to calculate the greatest common divisor of 369, 533, 398, 806?

We can find the highest common divisor of 369, 533, 398, 806 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 369, 533, 398, 806 i.e 1.


3. How can I use the GCD of 369, 533, 398, 806Calculator?

Out the numbers 369, 533, 398, 806 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.