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GCD of 961, 377, 414, 327 Calculator

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


Online GCD Calculator is useful to find the GCD of 961, 377, 414, 327 quickly. Get the easiest ways to solve the greatest common divisor of 961, 377, 414, 327 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 961, 377, 414, 327 with Factoring?

Given Input numbers are 961, 377, 414, 327

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

Divisors of 961 :

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

1, 31, 961

Divisors of 377 :

The positive integer divisors of 377 that completely divides 377 are.

1, 13, 29, 377

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327


GCD of numbers is the greatest common divisor

So, the GCD (961, 377, 414, 327) = 1.

Find GCD of 961, 377, 414, 327 using Prime Factorization

Given numbers are 961, 377, 414, 327

The list of prime factors of all numbers are

Prime factors of 961 are 31 x 31

Prime factors of 377 are 13 x 29

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 327 are 3 x 109

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

Steps to Calculate GCD of 961, 377, 414, 327 using LCM Formula

Given numbers are 961, 377, 414, 327

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

Apply this formula for all numbers.

Step1:

LCM(961, 377) = 362297

GCD(961, 377) = ( 961 x 377 ) / 362297

= 961 / 377

= 961


Step2:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1


Step3:

LCM(1, 327) = 327

GCD(1, 327) = ( 1 x 327 ) / 327

= 1 / 327

= 1


So, Greatest Common Divisor of 961, 377, 414, 327 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 961, 377, 414, 327

Given numbers are 961, 377, 414, 327
The greatest common divisor of numbers 961, 377, 414, 327 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 961, 377, 414, 327 is 1.

FAQs on GCD of 961, 377, 414, 327 Calculator

1. What is the GCD of 961, 377, 414, 327?

GCD of given numbers 961, 377, 414, 327 is 1


2. How to calculate the greatest common divisor of 961, 377, 414, 327?

We can find the highest common divisor of 961, 377, 414, 327 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 961, 377, 414, 327 i.e 1.


3. How can I use the GCD of 961, 377, 414, 327Calculator?

Out the numbers 961, 377, 414, 327 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.