GCD of 966, 540, 804 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 966, 540, 804 quickly. Get the easiest ways to solve the greatest common divisor of 966, 540, 804 i.e 6 in different methods as follows.
Given Input numbers are 966, 540, 804
In the factoring method, we have to find the divisors of all numbers
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
GCD of numbers is the greatest common divisor
So, the GCD (966, 540, 804) = 6.
Given numbers are 966, 540, 804
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 804 are 2 x 2 x 3 x 67
The highest common occurrence is 21 x 31
Therefore, GCD of 966, 540, 804 is 6.
Steps to Calculate GCD of 966, 540, 804 using LCM Formula
Given numbers are 966, 540, 804
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 540) = 86940
GCD(966, 540) = ( 966 x 540 ) / 86940
= 966 / 540
= 966
Step2:
LCM(6, 804) = 804
GCD(6, 804) = ( 6 x 804 ) / 804
= 6 / 804
= 6
So, Greatest Common Divisor of 966, 540, 804 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 966, 540, 804
Given numbers are 966, 540, 804
The greatest common divisor of numbers 966, 540, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 540, 804 is 6.
FAQs on GCD of 966, 540, 804 Calculator
1. What is the GCD of 966, 540, 804?
GCD of given numbers 966, 540, 804 is 6
2. How to calculate the greatest common divisor of 966, 540, 804?
We can find the highest common divisor of 966, 540, 804 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 966, 540, 804 i.e 6.
3. How can I use the GCD of 966, 540, 804Calculator?
Out the numbers 966, 540, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.