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GCD of 329, 460, 800, 362 Calculator

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


Online GCD Calculator is useful to find the GCD of 329, 460, 800, 362 quickly. Get the easiest ways to solve the greatest common divisor of 329, 460, 800, 362 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 329, 460, 800, 362 with Factoring?

Given Input numbers are 329, 460, 800, 362

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

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362


GCD of numbers is the greatest common divisor

So, the GCD (329, 460, 800, 362) = 1.

Find GCD of 329, 460, 800, 362 using Prime Factorization

Given numbers are 329, 460, 800, 362

The list of prime factors of all numbers are

Prime factors of 329 are 7 x 47

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 362 are 2 x 181

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

Steps to Calculate GCD of 329, 460, 800, 362 using LCM Formula

Given numbers are 329, 460, 800, 362

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

Apply this formula for all numbers.

Step1:

LCM(329, 460) = 151340

GCD(329, 460) = ( 329 x 460 ) / 151340

= 329 / 460

= 329


Step2:

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

= 1 / 800

= 1


Step3:

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

= 1 / 362

= 1


So, Greatest Common Divisor of 329, 460, 800, 362 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 329, 460, 800, 362

Given numbers are 329, 460, 800, 362
The greatest common divisor of numbers 329, 460, 800, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 329, 460, 800, 362 is 1.

FAQs on GCD of 329, 460, 800, 362 Calculator

1. What is the GCD of 329, 460, 800, 362?

GCD of given numbers 329, 460, 800, 362 is 1


2. How to calculate the greatest common divisor of 329, 460, 800, 362?

We can find the highest common divisor of 329, 460, 800, 362 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 329, 460, 800, 362 i.e 1.


3. How can I use the GCD of 329, 460, 800, 362Calculator?

Out the numbers 329, 460, 800, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.