GCD of 279, 867, 696 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 279, 867, 696 quickly. Get the easiest ways to solve the greatest common divisor of 279, 867, 696 i.e 3 in different methods as follows.
Given Input numbers are 279, 867, 696
In the factoring method, we have to find the divisors of all numbers
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (279, 867, 696) = 3.
Given numbers are 279, 867, 696
The list of prime factors of all numbers are
Prime factors of 279 are 3 x 3 x 31
Prime factors of 867 are 3 x 17 x 17
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 279, 867, 696 is 3.
Steps to Calculate GCD of 279, 867, 696 using LCM Formula
Given numbers are 279, 867, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(279, 867) = 80631
GCD(279, 867) = ( 279 x 867 ) / 80631
= 279 / 867
= 279
Step2:
LCM(3, 696) = 696
GCD(3, 696) = ( 3 x 696 ) / 696
= 3 / 696
= 3
So, Greatest Common Divisor of 279, 867, 696 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 279, 867, 696
Given numbers are 279, 867, 696
The greatest common divisor of numbers 279, 867, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 867, 696 is 3.
FAQs on GCD of 279, 867, 696 Calculator
1. What is the GCD of 279, 867, 696?
GCD of given numbers 279, 867, 696 is 3
2. How to calculate the greatest common divisor of 279, 867, 696?
We can find the highest common divisor of 279, 867, 696 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 279, 867, 696 i.e 3.
3. How can I use the GCD of 279, 867, 696Calculator?
Out the numbers 279, 867, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.