GCD of 960, 540, 675 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 960, 540, 675 quickly. Get the easiest ways to solve the greatest common divisor of 960, 540, 675 i.e 15 in different methods as follows.
Given Input numbers are 960, 540, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (960, 540, 675) = 15.
Given numbers are 960, 540, 675
The list of prime factors of all numbers are
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The highest common occurrence is 31 x 51
Therefore, GCD of 960, 540, 675 is 15.
Steps to Calculate GCD of 960, 540, 675 using LCM Formula
Given numbers are 960, 540, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 540) = 8640
GCD(960, 540) = ( 960 x 540 ) / 8640
= 960 / 540
= 960
Step2:
LCM(60, 675) = 2700
GCD(60, 675) = ( 60 x 675 ) / 2700
= 60 / 675
= 60
So, Greatest Common Divisor of 960, 540, 675 is 15
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 960, 540, 675
Given numbers are 960, 540, 675
The greatest common divisor of numbers 960, 540, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 540, 675 is 15.
FAQs on GCD of 960, 540, 675 Calculator
1. What is the GCD of 960, 540, 675?
GCD of given numbers 960, 540, 675 is 15
2. How to calculate the greatest common divisor of 960, 540, 675?
We can find the highest common divisor of 960, 540, 675 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 960, 540, 675 i.e 15.
3. How can I use the GCD of 960, 540, 675Calculator?
Out the numbers 960, 540, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.