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GCD of 321, 654, 448 Calculator

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


Online GCD Calculator is useful to find the GCD of 321, 654, 448 quickly. Get the easiest ways to solve the greatest common divisor of 321, 654, 448 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 321, 654, 448 with Factoring?

Given Input numbers are 321, 654, 448

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

Divisors of 321 :

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

1, 3, 107, 321

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448


GCD of numbers is the greatest common divisor

So, the GCD (321, 654, 448) = 1.

Find GCD of 321, 654, 448 using Prime Factorization

Given numbers are 321, 654, 448

The list of prime factors of all numbers are

Prime factors of 321 are 3 x 107

Prime factors of 654 are 2 x 3 x 109

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Steps to Calculate GCD of 321, 654, 448 using LCM Formula

Given numbers are 321, 654, 448

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

Apply this formula for all numbers.

Step1:

LCM(321, 654) = 69978

GCD(321, 654) = ( 321 x 654 ) / 69978

= 321 / 654

= 321


Step2:

LCM(3, 448) = 1344

GCD(3, 448) = ( 3 x 448 ) / 1344

= 3 / 448

= 3


So, Greatest Common Divisor of 321, 654, 448 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 321, 654, 448

Given numbers are 321, 654, 448
The greatest common divisor of numbers 321, 654, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 654, 448 is 1.

FAQs on GCD of 321, 654, 448 Calculator

1. What is the GCD of 321, 654, 448?

GCD of given numbers 321, 654, 448 is 1


2. How to calculate the greatest common divisor of 321, 654, 448?

We can find the highest common divisor of 321, 654, 448 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 321, 654, 448 i.e 1.


3. How can I use the GCD of 321, 654, 448Calculator?

Out the numbers 321, 654, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.