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GCD of 328, 205, 504, 961 Calculator

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


Online GCD Calculator is useful to find the GCD of 328, 205, 504, 961 quickly. Get the easiest ways to solve the greatest common divisor of 328, 205, 504, 961 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 328, 205, 504, 961 with Factoring?

Given Input numbers are 328, 205, 504, 961

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

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961


GCD of numbers is the greatest common divisor

So, the GCD (328, 205, 504, 961) = 1.

Find GCD of 328, 205, 504, 961 using Prime Factorization

Given numbers are 328, 205, 504, 961

The list of prime factors of all numbers are

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 205 are 5 x 41

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 961 are 31 x 31

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

Steps to Calculate GCD of 328, 205, 504, 961 using LCM Formula

Given numbers are 328, 205, 504, 961

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

Apply this formula for all numbers.

Step1:

LCM(328, 205) = 1640

GCD(328, 205) = ( 328 x 205 ) / 1640

= 328 / 205

= 328


Step2:

LCM(41, 504) = 20664

GCD(41, 504) = ( 41 x 504 ) / 20664

= 41 / 504

= 41


Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1


So, Greatest Common Divisor of 328, 205, 504, 961 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 328, 205, 504, 961

Given numbers are 328, 205, 504, 961
The greatest common divisor of numbers 328, 205, 504, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 205, 504, 961 is 1.

FAQs on GCD of 328, 205, 504, 961 Calculator

1. What is the GCD of 328, 205, 504, 961?

GCD of given numbers 328, 205, 504, 961 is 1


2. How to calculate the greatest common divisor of 328, 205, 504, 961?

We can find the highest common divisor of 328, 205, 504, 961 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 328, 205, 504, 961 i.e 1.


3. How can I use the GCD of 328, 205, 504, 961Calculator?

Out the numbers 328, 205, 504, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.