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GCD of 486, 296, 400, 321 Calculator

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


Online GCD Calculator is useful to find the GCD of 486, 296, 400, 321 quickly. Get the easiest ways to solve the greatest common divisor of 486, 296, 400, 321 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 486, 296, 400, 321 with Factoring?

Given Input numbers are 486, 296, 400, 321

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

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321


GCD of numbers is the greatest common divisor

So, the GCD (486, 296, 400, 321) = 1.

Find GCD of 486, 296, 400, 321 using Prime Factorization

Given numbers are 486, 296, 400, 321

The list of prime factors of all numbers are

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 321 are 3 x 107

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

Steps to Calculate GCD of 486, 296, 400, 321 using LCM Formula

Given numbers are 486, 296, 400, 321

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

Apply this formula for all numbers.

Step1:

LCM(486, 296) = 71928

GCD(486, 296) = ( 486 x 296 ) / 71928

= 486 / 296

= 486


Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2


Step3:

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

= 2 / 321

= 2


So, Greatest Common Divisor of 486, 296, 400, 321 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 486, 296, 400, 321

Given numbers are 486, 296, 400, 321
The greatest common divisor of numbers 486, 296, 400, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 296, 400, 321 is 1.

FAQs on GCD of 486, 296, 400, 321 Calculator

1. What is the GCD of 486, 296, 400, 321?

GCD of given numbers 486, 296, 400, 321 is 1


2. How to calculate the greatest common divisor of 486, 296, 400, 321?

We can find the highest common divisor of 486, 296, 400, 321 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 486, 296, 400, 321 i.e 1.


3. How can I use the GCD of 486, 296, 400, 321Calculator?

Out the numbers 486, 296, 400, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.