GCD of 357, 864, 108 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 357, 864, 108 quickly. Get the easiest ways to solve the greatest common divisor of 357, 864, 108 i.e 3 in different methods as follows.
Given Input numbers are 357, 864, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (357, 864, 108) = 3.
Given numbers are 357, 864, 108
The list of prime factors of all numbers are
Prime factors of 357 are 3 x 7 x 17
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 357, 864, 108 is 3.
Steps to Calculate GCD of 357, 864, 108 using LCM Formula
Given numbers are 357, 864, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(357, 864) = 102816
GCD(357, 864) = ( 357 x 864 ) / 102816
= 357 / 864
= 357
Step2:
LCM(3, 108) = 108
GCD(3, 108) = ( 3 x 108 ) / 108
= 3 / 108
= 3
So, Greatest Common Divisor of 357, 864, 108 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 357, 864, 108
Given numbers are 357, 864, 108
The greatest common divisor of numbers 357, 864, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 864, 108 is 3.
FAQs on GCD of 357, 864, 108 Calculator
1. What is the GCD of 357, 864, 108?
GCD of given numbers 357, 864, 108 is 3
2. How to calculate the greatest common divisor of 357, 864, 108?
We can find the highest common divisor of 357, 864, 108 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 357, 864, 108 i.e 3.
3. How can I use the GCD of 357, 864, 108Calculator?
Out the numbers 357, 864, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.