GCD of 418, 121, 825 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 418, 121, 825 quickly. Get the easiest ways to solve the greatest common divisor of 418, 121, 825 i.e 11 in different methods as follows.
Given Input numbers are 418, 121, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
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
GCD of numbers is the greatest common divisor
So, the GCD (418, 121, 825) = 11.
Given numbers are 418, 121, 825
The list of prime factors of all numbers are
Prime factors of 418 are 2 x 11 x 19
Prime factors of 121 are 11 x 11
Prime factors of 825 are 3 x 5 x 5 x 11
The highest common occurrence is 111
Therefore, GCD of 418, 121, 825 is 11.
Steps to Calculate GCD of 418, 121, 825 using LCM Formula
Given numbers are 418, 121, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(418, 121) = 4598
GCD(418, 121) = ( 418 x 121 ) / 4598
= 418 / 121
= 418
Step2:
LCM(11, 825) = 825
GCD(11, 825) = ( 11 x 825 ) / 825
= 11 / 825
= 11
So, Greatest Common Divisor of 418, 121, 825 is 11
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 418, 121, 825
Given numbers are 418, 121, 825
The greatest common divisor of numbers 418, 121, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 418, 121, 825 is 11.
FAQs on GCD of 418, 121, 825 Calculator
1. What is the GCD of 418, 121, 825?
GCD of given numbers 418, 121, 825 is 11
2. How to calculate the greatest common divisor of 418, 121, 825?
We can find the highest common divisor of 418, 121, 825 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 418, 121, 825 i.e 11.
3. How can I use the GCD of 418, 121, 825Calculator?
Out the numbers 418, 121, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.