GCD of 615, 975, 108 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 615, 975, 108 quickly. Get the easiest ways to solve the greatest common divisor of 615, 975, 108 i.e 3 in different methods as follows.
Given Input numbers are 615, 975, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 615 :
The positive integer divisors of 615 that completely divides 615 are.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
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 (615, 975, 108) = 3.
Given numbers are 615, 975, 108
The list of prime factors of all numbers are
Prime factors of 615 are 3 x 5 x 41
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 615, 975, 108 is 3.
Steps to Calculate GCD of 615, 975, 108 using LCM Formula
Given numbers are 615, 975, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(615, 975) = 39975
GCD(615, 975) = ( 615 x 975 ) / 39975
= 615 / 975
= 615
Step2:
LCM(15, 108) = 540
GCD(15, 108) = ( 15 x 108 ) / 540
= 15 / 108
= 15
So, Greatest Common Divisor of 615, 975, 108 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 615, 975, 108
Given numbers are 615, 975, 108
The greatest common divisor of numbers 615, 975, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 615, 975, 108 is 3.
FAQs on GCD of 615, 975, 108 Calculator
1. What is the GCD of 615, 975, 108?
GCD of given numbers 615, 975, 108 is 3
2. How to calculate the greatest common divisor of 615, 975, 108?
We can find the highest common divisor of 615, 975, 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 615, 975, 108 i.e 3.
3. How can I use the GCD of 615, 975, 108Calculator?
Out the numbers 615, 975, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.