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GCD of 800, 642, 397, 393 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, 642, 397, 393 quickly. Get the easiest ways to solve the greatest common divisor of 800, 642, 397, 393 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 642, 397, 393 with Factoring?

Given Input numbers are 800, 642, 397, 393

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393


GCD of numbers is the greatest common divisor

So, the GCD (800, 642, 397, 393) = 1.

Find GCD of 800, 642, 397, 393 using Prime Factorization

Given numbers are 800, 642, 397, 393

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 642 are 2 x 3 x 107

Prime factors of 397 are 397

Prime factors of 393 are 3 x 131

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

Steps to Calculate GCD of 800, 642, 397, 393 using LCM Formula

Given numbers are 800, 642, 397, 393

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

Apply this formula for all numbers.

Step1:

LCM(800, 642) = 256800

GCD(800, 642) = ( 800 x 642 ) / 256800

= 800 / 642

= 800


Step2:

LCM(2, 397) = 794

GCD(2, 397) = ( 2 x 397 ) / 794

= 2 / 397

= 2


Step3:

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

= 1 / 393

= 1


So, Greatest Common Divisor of 800, 642, 397, 393 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 642, 397, 393

Given numbers are 800, 642, 397, 393
The greatest common divisor of numbers 800, 642, 397, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 642, 397, 393 is 1.

FAQs on GCD of 800, 642, 397, 393 Calculator

1. What is the GCD of 800, 642, 397, 393?

GCD of given numbers 800, 642, 397, 393 is 1


2. How to calculate the greatest common divisor of 800, 642, 397, 393?

We can find the highest common divisor of 800, 642, 397, 393 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, 642, 397, 393 i.e 1.


3. How can I use the GCD of 800, 642, 397, 393Calculator?

Out the numbers 800, 642, 397, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.