GCD of 744, 825, 585 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 744, 825, 585 quickly. Get the easiest ways to solve the greatest common divisor of 744, 825, 585 i.e 3 in different methods as follows.
Given Input numbers are 744, 825, 585
In the factoring method, we have to find the divisors of all numbers
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 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
GCD of numbers is the greatest common divisor
So, the GCD (744, 825, 585) = 3.
Given numbers are 744, 825, 585
The list of prime factors of all numbers are
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 585 are 3 x 3 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 744, 825, 585 is 3.
Steps to Calculate GCD of 744, 825, 585 using LCM Formula
Given numbers are 744, 825, 585
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(744, 825) = 204600
GCD(744, 825) = ( 744 x 825 ) / 204600
= 744 / 825
= 744
Step2:
LCM(3, 585) = 585
GCD(3, 585) = ( 3 x 585 ) / 585
= 3 / 585
= 3
So, Greatest Common Divisor of 744, 825, 585 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 744, 825, 585
Given numbers are 744, 825, 585
The greatest common divisor of numbers 744, 825, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 825, 585 is 3.
FAQs on GCD of 744, 825, 585 Calculator
1. What is the GCD of 744, 825, 585?
GCD of given numbers 744, 825, 585 is 3
2. How to calculate the greatest common divisor of 744, 825, 585?
We can find the highest common divisor of 744, 825, 585 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 744, 825, 585 i.e 3.
3. How can I use the GCD of 744, 825, 585Calculator?
Out the numbers 744, 825, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.