GCD of 513, 654, 960 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 513, 654, 960 quickly. Get the easiest ways to solve the greatest common divisor of 513, 654, 960 i.e 3 in different methods as follows.
Given Input numbers are 513, 654, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
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
GCD of numbers is the greatest common divisor
So, the GCD (513, 654, 960) = 3.
Given numbers are 513, 654, 960
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 654 are 2 x 3 x 109
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 513, 654, 960 is 3.
Steps to Calculate GCD of 513, 654, 960 using LCM Formula
Given numbers are 513, 654, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 654) = 111834
GCD(513, 654) = ( 513 x 654 ) / 111834
= 513 / 654
= 513
Step2:
LCM(3, 960) = 960
GCD(3, 960) = ( 3 x 960 ) / 960
= 3 / 960
= 3
So, Greatest Common Divisor of 513, 654, 960 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 513, 654, 960
Given numbers are 513, 654, 960
The greatest common divisor of numbers 513, 654, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 654, 960 is 3.
FAQs on GCD of 513, 654, 960 Calculator
1. What is the GCD of 513, 654, 960?
GCD of given numbers 513, 654, 960 is 3
2. How to calculate the greatest common divisor of 513, 654, 960?
We can find the highest common divisor of 513, 654, 960 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 513, 654, 960 i.e 3.
3. How can I use the GCD of 513, 654, 960Calculator?
Out the numbers 513, 654, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.