GCD of 522, 102, 825 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 522, 102, 825 quickly. Get the easiest ways to solve the greatest common divisor of 522, 102, 825 i.e 3 in different methods as follows.
Given Input numbers are 522, 102, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
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 (522, 102, 825) = 3.
Given numbers are 522, 102, 825
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 102 are 2 x 3 x 17
Prime factors of 825 are 3 x 5 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 522, 102, 825 is 3.
Steps to Calculate GCD of 522, 102, 825 using LCM Formula
Given numbers are 522, 102, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 102) = 8874
GCD(522, 102) = ( 522 x 102 ) / 8874
= 522 / 102
= 522
Step2:
LCM(6, 825) = 1650
GCD(6, 825) = ( 6 x 825 ) / 1650
= 6 / 825
= 6
So, Greatest Common Divisor of 522, 102, 825 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 522, 102, 825
Given numbers are 522, 102, 825
The greatest common divisor of numbers 522, 102, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 102, 825 is 3.
FAQs on GCD of 522, 102, 825 Calculator
1. What is the GCD of 522, 102, 825?
GCD of given numbers 522, 102, 825 is 3
2. How to calculate the greatest common divisor of 522, 102, 825?
We can find the highest common divisor of 522, 102, 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 522, 102, 825 i.e 3.
3. How can I use the GCD of 522, 102, 825Calculator?
Out the numbers 522, 102, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.