GCD of 702, 432, 225 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 702, 432, 225 quickly. Get the easiest ways to solve the greatest common divisor of 702, 432, 225 i.e 9 in different methods as follows.
Given Input numbers are 702, 432, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (702, 432, 225) = 9.
Given numbers are 702, 432, 225
The list of prime factors of all numbers are
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 32
Therefore, GCD of 702, 432, 225 is 9.
Steps to Calculate GCD of 702, 432, 225 using LCM Formula
Given numbers are 702, 432, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 432) = 5616
GCD(702, 432) = ( 702 x 432 ) / 5616
= 702 / 432
= 702
Step2:
LCM(54, 225) = 1350
GCD(54, 225) = ( 54 x 225 ) / 1350
= 54 / 225
= 54
So, Greatest Common Divisor of 702, 432, 225 is 9
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 702, 432, 225
Given numbers are 702, 432, 225
The greatest common divisor of numbers 702, 432, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 432, 225 is 9.
FAQs on GCD of 702, 432, 225 Calculator
1. What is the GCD of 702, 432, 225?
GCD of given numbers 702, 432, 225 is 9
2. How to calculate the greatest common divisor of 702, 432, 225?
We can find the highest common divisor of 702, 432, 225 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 702, 432, 225 i.e 9.
3. How can I use the GCD of 702, 432, 225Calculator?
Out the numbers 702, 432, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.