LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 966, 339, 354, 465 Calculator

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


Online GCD Calculator is useful to find the GCD of 966, 339, 354, 465 quickly. Get the easiest ways to solve the greatest common divisor of 966, 339, 354, 465 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 966, 339, 354, 465 with Factoring?

Given Input numbers are 966, 339, 354, 465

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465


GCD of numbers is the greatest common divisor

So, the GCD (966, 339, 354, 465) = 3.

Find GCD of 966, 339, 354, 465 using Prime Factorization

Given numbers are 966, 339, 354, 465

The list of prime factors of all numbers are

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 339 are 3 x 113

Prime factors of 354 are 2 x 3 x 59

Prime factors of 465 are 3 x 5 x 31

The highest common occurrence is 31

Therefore, GCD of 966, 339, 354, 465 is 3.

Steps to Calculate GCD of 966, 339, 354, 465 using LCM Formula

Given numbers are 966, 339, 354, 465

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

Apply this formula for all numbers.

Step1:

LCM(966, 339) = 109158

GCD(966, 339) = ( 966 x 339 ) / 109158

= 966 / 339

= 966


Step2:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3


Step3:

LCM(3, 465) = 465

GCD(3, 465) = ( 3 x 465 ) / 465

= 3 / 465

= 3


So, Greatest Common Divisor of 966, 339, 354, 465 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 966, 339, 354, 465

Given numbers are 966, 339, 354, 465
The greatest common divisor of numbers 966, 339, 354, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 339, 354, 465 is 3.

FAQs on GCD of 966, 339, 354, 465 Calculator

1. What is the GCD of 966, 339, 354, 465?

GCD of given numbers 966, 339, 354, 465 is 3


2. How to calculate the greatest common divisor of 966, 339, 354, 465?

We can find the highest common divisor of 966, 339, 354, 465 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 966, 339, 354, 465 i.e 3.


3. How can I use the GCD of 966, 339, 354, 465Calculator?

Out the numbers 966, 339, 354, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.