GCD of 693, 966, 84 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 693, 966, 84 quickly. Get the easiest ways to solve the greatest common divisor of 693, 966, 84 i.e 21 in different methods as follows.
Given Input numbers are 693, 966, 84
In the factoring method, we have to find the divisors of all numbers
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
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 84 :
The positive integer divisors of 84 that completely divides 84 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
GCD of numbers is the greatest common divisor
So, the GCD (693, 966, 84) = 21.
Given numbers are 693, 966, 84
The list of prime factors of all numbers are
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 84 are 2 x 2 x 3 x 7
The highest common occurrence is 31 x 71
Therefore, GCD of 693, 966, 84 is 21.
Steps to Calculate GCD of 693, 966, 84 using LCM Formula
Given numbers are 693, 966, 84
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(693, 966) = 31878
GCD(693, 966) = ( 693 x 966 ) / 31878
= 693 / 966
= 693
Step2:
LCM(21, 84) = 84
GCD(21, 84) = ( 21 x 84 ) / 84
= 21 / 84
= 21
So, Greatest Common Divisor of 693, 966, 84 is 21
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 693, 966, 84
Given numbers are 693, 966, 84
The greatest common divisor of numbers 693, 966, 84 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 966, 84 is 21.
FAQs on GCD of 693, 966, 84 Calculator
1. What is the GCD of 693, 966, 84?
GCD of given numbers 693, 966, 84 is 21
2. How to calculate the greatest common divisor of 693, 966, 84?
We can find the highest common divisor of 693, 966, 84 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 693, 966, 84 i.e 21.
3. How can I use the GCD of 693, 966, 84Calculator?
Out the numbers 693, 966, 84 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.