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GCD of 800, 335, 208, 324 Calculator

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


Online GCD Calculator is useful to find the GCD of 800, 335, 208, 324 quickly. Get the easiest ways to solve the greatest common divisor of 800, 335, 208, 324 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 335, 208, 324 with Factoring?

Given Input numbers are 800, 335, 208, 324

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

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 335 :

The positive integer divisors of 335 that completely divides 335 are.

1, 5, 67, 335

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324


GCD of numbers is the greatest common divisor

So, the GCD (800, 335, 208, 324) = 1.

Find GCD of 800, 335, 208, 324 using Prime Factorization

Given numbers are 800, 335, 208, 324

The list of prime factors of all numbers are

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

Prime factors of 335 are 5 x 67

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

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

Steps to Calculate GCD of 800, 335, 208, 324 using LCM Formula

Given numbers are 800, 335, 208, 324

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

Apply this formula for all numbers.

Step1:

LCM(800, 335) = 53600

GCD(800, 335) = ( 800 x 335 ) / 53600

= 800 / 335

= 800


Step2:

LCM(5, 208) = 1040

GCD(5, 208) = ( 5 x 208 ) / 1040

= 5 / 208

= 5


Step3:

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

= 1 / 324

= 1


So, Greatest Common Divisor of 800, 335, 208, 324 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 335, 208, 324

Given numbers are 800, 335, 208, 324
The greatest common divisor of numbers 800, 335, 208, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 335, 208, 324 is 1.

FAQs on GCD of 800, 335, 208, 324 Calculator

1. What is the GCD of 800, 335, 208, 324?

GCD of given numbers 800, 335, 208, 324 is 1


2. How to calculate the greatest common divisor of 800, 335, 208, 324?

We can find the highest common divisor of 800, 335, 208, 324 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 800, 335, 208, 324 i.e 1.


3. How can I use the GCD of 800, 335, 208, 324Calculator?

Out the numbers 800, 335, 208, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.