GCD of 756, 675, 810 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 756, 675, 810 quickly. Get the easiest ways to solve the greatest common divisor of 756, 675, 810 i.e 27 in different methods as follows.
Given Input numbers are 756, 675, 810
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
GCD of numbers is the greatest common divisor
So, the GCD (756, 675, 810) = 27.
Given numbers are 756, 675, 810
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
The highest common occurrence is 33
Therefore, GCD of 756, 675, 810 is 27.
Steps to Calculate GCD of 756, 675, 810 using LCM Formula
Given numbers are 756, 675, 810
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 675) = 18900
GCD(756, 675) = ( 756 x 675 ) / 18900
= 756 / 675
= 756
Step2:
LCM(27, 810) = 810
GCD(27, 810) = ( 27 x 810 ) / 810
= 27 / 810
= 27
So, Greatest Common Divisor of 756, 675, 810 is 27
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 756, 675, 810
Given numbers are 756, 675, 810
The greatest common divisor of numbers 756, 675, 810 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 675, 810 is 27.
FAQs on GCD of 756, 675, 810 Calculator
1. What is the GCD of 756, 675, 810?
GCD of given numbers 756, 675, 810 is 27
2. How to calculate the greatest common divisor of 756, 675, 810?
We can find the highest common divisor of 756, 675, 810 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 756, 675, 810 i.e 27.
3. How can I use the GCD of 756, 675, 810Calculator?
Out the numbers 756, 675, 810 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.