GCD of 564, 420, 423 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 564, 420, 423 quickly. Get the easiest ways to solve the greatest common divisor of 564, 420, 423 i.e 3 in different methods as follows.
Given Input numbers are 564, 420, 423
In the factoring method, we have to find the divisors of all numbers
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
GCD of numbers is the greatest common divisor
So, the GCD (564, 420, 423) = 3.
Given numbers are 564, 420, 423
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 423 are 3 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 564, 420, 423 is 3.
Steps to Calculate GCD of 564, 420, 423 using LCM Formula
Given numbers are 564, 420, 423
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 420) = 19740
GCD(564, 420) = ( 564 x 420 ) / 19740
= 564 / 420
= 564
Step2:
LCM(12, 423) = 1692
GCD(12, 423) = ( 12 x 423 ) / 1692
= 12 / 423
= 12
So, Greatest Common Divisor of 564, 420, 423 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 564, 420, 423
Given numbers are 564, 420, 423
The greatest common divisor of numbers 564, 420, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 420, 423 is 3.
FAQs on GCD of 564, 420, 423 Calculator
1. What is the GCD of 564, 420, 423?
GCD of given numbers 564, 420, 423 is 3
2. How to calculate the greatest common divisor of 564, 420, 423?
We can find the highest common divisor of 564, 420, 423 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 564, 420, 423 i.e 3.
3. How can I use the GCD of 564, 420, 423Calculator?
Out the numbers 564, 420, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.