GCD of 321, 255, 69 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 321, 255, 69 quickly. Get the easiest ways to solve the greatest common divisor of 321, 255, 69 i.e 3 in different methods as follows.
Given Input numbers are 321, 255, 69
In the factoring method, we have to find the divisors of all numbers
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 255 :
The positive integer divisors of 255 that completely divides 255 are.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 69 :
The positive integer divisors of 69 that completely divides 69 are.
1, 3, 23, 69
GCD of numbers is the greatest common divisor
So, the GCD (321, 255, 69) = 3.
Given numbers are 321, 255, 69
The list of prime factors of all numbers are
Prime factors of 321 are 3 x 107
Prime factors of 255 are 3 x 5 x 17
Prime factors of 69 are 3 x 23
The highest common occurrence is 31
Therefore, GCD of 321, 255, 69 is 3.
Steps to Calculate GCD of 321, 255, 69 using LCM Formula
Given numbers are 321, 255, 69
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(321, 255) = 27285
GCD(321, 255) = ( 321 x 255 ) / 27285
= 321 / 255
= 321
Step2:
LCM(3, 69) = 69
GCD(3, 69) = ( 3 x 69 ) / 69
= 3 / 69
= 3
So, Greatest Common Divisor of 321, 255, 69 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 321, 255, 69
Given numbers are 321, 255, 69
The greatest common divisor of numbers 321, 255, 69 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 255, 69 is 3.
FAQs on GCD of 321, 255, 69 Calculator
1. What is the GCD of 321, 255, 69?
GCD of given numbers 321, 255, 69 is 3
2. How to calculate the greatest common divisor of 321, 255, 69?
We can find the highest common divisor of 321, 255, 69 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 321, 255, 69 i.e 3.
3. How can I use the GCD of 321, 255, 69Calculator?
Out the numbers 321, 255, 69 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.