GCD of 507, 728, 416 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 507, 728, 416 quickly. Get the easiest ways to solve the greatest common divisor of 507, 728, 416 i.e 13 in different methods as follows.
Given Input numbers are 507, 728, 416
In the factoring method, we have to find the divisors of all numbers
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
GCD of numbers is the greatest common divisor
So, the GCD (507, 728, 416) = 13.
Given numbers are 507, 728, 416
The list of prime factors of all numbers are
Prime factors of 507 are 3 x 13 x 13
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
The highest common occurrence is 131
Therefore, GCD of 507, 728, 416 is 13.
Steps to Calculate GCD of 507, 728, 416 using LCM Formula
Given numbers are 507, 728, 416
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(507, 728) = 28392
GCD(507, 728) = ( 507 x 728 ) / 28392
= 507 / 728
= 507
Step2:
LCM(13, 416) = 416
GCD(13, 416) = ( 13 x 416 ) / 416
= 13 / 416
= 13
So, Greatest Common Divisor of 507, 728, 416 is 13
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 507, 728, 416
Given numbers are 507, 728, 416
The greatest common divisor of numbers 507, 728, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 728, 416 is 13.
FAQs on GCD of 507, 728, 416 Calculator
1. What is the GCD of 507, 728, 416?
GCD of given numbers 507, 728, 416 is 13
2. How to calculate the greatest common divisor of 507, 728, 416?
We can find the highest common divisor of 507, 728, 416 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 507, 728, 416 i.e 13.
3. How can I use the GCD of 507, 728, 416Calculator?
Out the numbers 507, 728, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.