GCD of 660, 615, 120 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 660, 615, 120 quickly. Get the easiest ways to solve the greatest common divisor of 660, 615, 120 i.e 15 in different methods as follows.
Given Input numbers are 660, 615, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 615 :
The positive integer divisors of 615 that completely divides 615 are.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (660, 615, 120) = 15.
Given numbers are 660, 615, 120
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 615 are 3 x 5 x 41
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31 x 51
Therefore, GCD of 660, 615, 120 is 15.
Steps to Calculate GCD of 660, 615, 120 using LCM Formula
Given numbers are 660, 615, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 615) = 27060
GCD(660, 615) = ( 660 x 615 ) / 27060
= 660 / 615
= 660
Step2:
LCM(15, 120) = 120
GCD(15, 120) = ( 15 x 120 ) / 120
= 15 / 120
= 15
So, Greatest Common Divisor of 660, 615, 120 is 15
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 660, 615, 120
Given numbers are 660, 615, 120
The greatest common divisor of numbers 660, 615, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 615, 120 is 15.
FAQs on GCD of 660, 615, 120 Calculator
1. What is the GCD of 660, 615, 120?
GCD of given numbers 660, 615, 120 is 15
2. How to calculate the greatest common divisor of 660, 615, 120?
We can find the highest common divisor of 660, 615, 120 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 660, 615, 120 i.e 15.
3. How can I use the GCD of 660, 615, 120Calculator?
Out the numbers 660, 615, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.