GCD of 588, 822, 264 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 588, 822, 264 quickly. Get the easiest ways to solve the greatest common divisor of 588, 822, 264 i.e 6 in different methods as follows.
Given Input numbers are 588, 822, 264
In the factoring method, we have to find the divisors of all numbers
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
GCD of numbers is the greatest common divisor
So, the GCD (588, 822, 264) = 6.
Given numbers are 588, 822, 264
The list of prime factors of all numbers are
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 822 are 2 x 3 x 137
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
The highest common occurrence is 21 x 31
Therefore, GCD of 588, 822, 264 is 6.
Steps to Calculate GCD of 588, 822, 264 using LCM Formula
Given numbers are 588, 822, 264
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(588, 822) = 80556
GCD(588, 822) = ( 588 x 822 ) / 80556
= 588 / 822
= 588
Step2:
LCM(6, 264) = 264
GCD(6, 264) = ( 6 x 264 ) / 264
= 6 / 264
= 6
So, Greatest Common Divisor of 588, 822, 264 is 6
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 588, 822, 264
Given numbers are 588, 822, 264
The greatest common divisor of numbers 588, 822, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 822, 264 is 6.
FAQs on GCD of 588, 822, 264 Calculator
1. What is the GCD of 588, 822, 264?
GCD of given numbers 588, 822, 264 is 6
2. How to calculate the greatest common divisor of 588, 822, 264?
We can find the highest common divisor of 588, 822, 264 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 588, 822, 264 i.e 6.
3. How can I use the GCD of 588, 822, 264Calculator?
Out the numbers 588, 822, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.