GCD of 516, 825, 456 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 516, 825, 456 quickly. Get the easiest ways to solve the greatest common divisor of 516, 825, 456 i.e 3 in different methods as follows.
Given Input numbers are 516, 825, 456
In the factoring method, we have to find the divisors of all numbers
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
GCD of numbers is the greatest common divisor
So, the GCD (516, 825, 456) = 3.
Given numbers are 516, 825, 456
The list of prime factors of all numbers are
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 516, 825, 456 is 3.
Steps to Calculate GCD of 516, 825, 456 using LCM Formula
Given numbers are 516, 825, 456
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(516, 825) = 141900
GCD(516, 825) = ( 516 x 825 ) / 141900
= 516 / 825
= 516
Step2:
LCM(3, 456) = 456
GCD(3, 456) = ( 3 x 456 ) / 456
= 3 / 456
= 3
So, Greatest Common Divisor of 516, 825, 456 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 516, 825, 456
Given numbers are 516, 825, 456
The greatest common divisor of numbers 516, 825, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 825, 456 is 3.
FAQs on GCD of 516, 825, 456 Calculator
1. What is the GCD of 516, 825, 456?
GCD of given numbers 516, 825, 456 is 3
2. How to calculate the greatest common divisor of 516, 825, 456?
We can find the highest common divisor of 516, 825, 456 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 516, 825, 456 i.e 3.
3. How can I use the GCD of 516, 825, 456Calculator?
Out the numbers 516, 825, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.