GCD of 225, 744, 588 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 225, 744, 588 quickly. Get the easiest ways to solve the greatest common divisor of 225, 744, 588 i.e 3 in different methods as follows.
Given Input numbers are 225, 744, 588
In the factoring method, we have to find the divisors of all numbers
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
GCD of numbers is the greatest common divisor
So, the GCD (225, 744, 588) = 3.
Given numbers are 225, 744, 588
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 225, 744, 588 is 3.
Steps to Calculate GCD of 225, 744, 588 using LCM Formula
Given numbers are 225, 744, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 744) = 55800
GCD(225, 744) = ( 225 x 744 ) / 55800
= 225 / 744
= 225
Step2:
LCM(3, 588) = 588
GCD(3, 588) = ( 3 x 588 ) / 588
= 3 / 588
= 3
So, Greatest Common Divisor of 225, 744, 588 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 225, 744, 588
Given numbers are 225, 744, 588
The greatest common divisor of numbers 225, 744, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 744, 588 is 3.
FAQs on GCD of 225, 744, 588 Calculator
1. What is the GCD of 225, 744, 588?
GCD of given numbers 225, 744, 588 is 3
2. How to calculate the greatest common divisor of 225, 744, 588?
We can find the highest common divisor of 225, 744, 588 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 225, 744, 588 i.e 3.
3. How can I use the GCD of 225, 744, 588Calculator?
Out the numbers 225, 744, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.