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GCD of 396, 969, 456, 865 Calculator

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


Online GCD Calculator is useful to find the GCD of 396, 969, 456, 865 quickly. Get the easiest ways to solve the greatest common divisor of 396, 969, 456, 865 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 396, 969, 456, 865 with Factoring?

Given Input numbers are 396, 969, 456, 865

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865


GCD of numbers is the greatest common divisor

So, the GCD (396, 969, 456, 865) = 1.

Find GCD of 396, 969, 456, 865 using Prime Factorization

Given numbers are 396, 969, 456, 865

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 969 are 3 x 17 x 19

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 865 are 5 x 173

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

Steps to Calculate GCD of 396, 969, 456, 865 using LCM Formula

Given numbers are 396, 969, 456, 865

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

Apply this formula for all numbers.

Step1:

LCM(396, 969) = 127908

GCD(396, 969) = ( 396 x 969 ) / 127908

= 396 / 969

= 396


Step2:

LCM(3, 456) = 456

GCD(3, 456) = ( 3 x 456 ) / 456

= 3 / 456

= 3


Step3:

LCM(3, 865) = 2595

GCD(3, 865) = ( 3 x 865 ) / 2595

= 3 / 865

= 3


So, Greatest Common Divisor of 396, 969, 456, 865 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 396, 969, 456, 865

Given numbers are 396, 969, 456, 865
The greatest common divisor of numbers 396, 969, 456, 865 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 969, 456, 865 is 1.

FAQs on GCD of 396, 969, 456, 865 Calculator

1. What is the GCD of 396, 969, 456, 865?

GCD of given numbers 396, 969, 456, 865 is 1


2. How to calculate the greatest common divisor of 396, 969, 456, 865?

We can find the highest common divisor of 396, 969, 456, 865 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 396, 969, 456, 865 i.e 1.


3. How can I use the GCD of 396, 969, 456, 865Calculator?

Out the numbers 396, 969, 456, 865 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.