GCD of 327, 408, 969 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 327, 408, 969 quickly. Get the easiest ways to solve the greatest common divisor of 327, 408, 969 i.e 3 in different methods as follows.
Given Input numbers are 327, 408, 969
In the factoring method, we have to find the divisors of all numbers
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
GCD of numbers is the greatest common divisor
So, the GCD (327, 408, 969) = 3.
Given numbers are 327, 408, 969
The list of prime factors of all numbers are
Prime factors of 327 are 3 x 109
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 969 are 3 x 17 x 19
The highest common occurrence is 31
Therefore, GCD of 327, 408, 969 is 3.
Steps to Calculate GCD of 327, 408, 969 using LCM Formula
Given numbers are 327, 408, 969
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(327, 408) = 44472
GCD(327, 408) = ( 327 x 408 ) / 44472
= 327 / 408
= 327
Step2:
LCM(3, 969) = 969
GCD(3, 969) = ( 3 x 969 ) / 969
= 3 / 969
= 3
So, Greatest Common Divisor of 327, 408, 969 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 327, 408, 969
Given numbers are 327, 408, 969
The greatest common divisor of numbers 327, 408, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 327, 408, 969 is 3.
FAQs on GCD of 327, 408, 969 Calculator
1. What is the GCD of 327, 408, 969?
GCD of given numbers 327, 408, 969 is 3
2. How to calculate the greatest common divisor of 327, 408, 969?
We can find the highest common divisor of 327, 408, 969 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 327, 408, 969 i.e 3.
3. How can I use the GCD of 327, 408, 969Calculator?
Out the numbers 327, 408, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.