GCD of 494, 156, 325 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 494, 156, 325 quickly. Get the easiest ways to solve the greatest common divisor of 494, 156, 325 i.e 13 in different methods as follows.
Given Input numbers are 494, 156, 325
In the factoring method, we have to find the divisors of all numbers
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 325 :
The positive integer divisors of 325 that completely divides 325 are.
1, 5, 13, 25, 65, 325
GCD of numbers is the greatest common divisor
So, the GCD (494, 156, 325) = 13.
Given numbers are 494, 156, 325
The list of prime factors of all numbers are
Prime factors of 494 are 2 x 13 x 19
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 325 are 5 x 5 x 13
The highest common occurrence is 131
Therefore, GCD of 494, 156, 325 is 13.
Steps to Calculate GCD of 494, 156, 325 using LCM Formula
Given numbers are 494, 156, 325
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(494, 156) = 2964
GCD(494, 156) = ( 494 x 156 ) / 2964
= 494 / 156
= 494
Step2:
LCM(26, 325) = 650
GCD(26, 325) = ( 26 x 325 ) / 650
= 26 / 325
= 26
So, Greatest Common Divisor of 494, 156, 325 is 13
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 494, 156, 325
Given numbers are 494, 156, 325
The greatest common divisor of numbers 494, 156, 325 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 156, 325 is 13.
FAQs on GCD of 494, 156, 325 Calculator
1. What is the GCD of 494, 156, 325?
GCD of given numbers 494, 156, 325 is 13
2. How to calculate the greatest common divisor of 494, 156, 325?
We can find the highest common divisor of 494, 156, 325 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 494, 156, 325 i.e 13.
3. How can I use the GCD of 494, 156, 325Calculator?
Out the numbers 494, 156, 325 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.