GCD of 405, 672, 675 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 405, 672, 675 quickly. Get the easiest ways to solve the greatest common divisor of 405, 672, 675 i.e 3 in different methods as follows.
Given Input numbers are 405, 672, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (405, 672, 675) = 3.
Given numbers are 405, 672, 675
The list of prime factors of all numbers are
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 405, 672, 675 is 3.
Steps to Calculate GCD of 405, 672, 675 using LCM Formula
Given numbers are 405, 672, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(405, 672) = 90720
GCD(405, 672) = ( 405 x 672 ) / 90720
= 405 / 672
= 405
Step2:
LCM(3, 675) = 675
GCD(3, 675) = ( 3 x 675 ) / 675
= 3 / 675
= 3
So, Greatest Common Divisor of 405, 672, 675 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 405, 672, 675
Given numbers are 405, 672, 675
The greatest common divisor of numbers 405, 672, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 672, 675 is 3.
FAQs on GCD of 405, 672, 675 Calculator
1. What is the GCD of 405, 672, 675?
GCD of given numbers 405, 672, 675 is 3
2. How to calculate the greatest common divisor of 405, 672, 675?
We can find the highest common divisor of 405, 672, 675 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 405, 672, 675 i.e 3.
3. How can I use the GCD of 405, 672, 675Calculator?
Out the numbers 405, 672, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.