GCD of 564, 588, 420 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 564, 588, 420 quickly. Get the easiest ways to solve the greatest common divisor of 564, 588, 420 i.e 12 in different methods as follows.
Given Input numbers are 564, 588, 420
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 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 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
GCD of numbers is the greatest common divisor
So, the GCD (564, 588, 420) = 12.
Given numbers are 564, 588, 420
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 22 x 31
Therefore, GCD of 564, 588, 420 is 12.
Steps to Calculate GCD of 564, 588, 420 using LCM Formula
Given numbers are 564, 588, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 588) = 27636
GCD(564, 588) = ( 564 x 588 ) / 27636
= 564 / 588
= 564
Step2:
LCM(12, 420) = 420
GCD(12, 420) = ( 12 x 420 ) / 420
= 12 / 420
= 12
So, Greatest Common Divisor of 564, 588, 420 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 564, 588, 420
Given numbers are 564, 588, 420
The greatest common divisor of numbers 564, 588, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 588, 420 is 12.
FAQs on GCD of 564, 588, 420 Calculator
1. What is the GCD of 564, 588, 420?
GCD of given numbers 564, 588, 420 is 12
2. How to calculate the greatest common divisor of 564, 588, 420?
We can find the highest common divisor of 564, 588, 420 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, 588, 420 i.e 12.
3. How can I use the GCD of 564, 588, 420Calculator?
Out the numbers 564, 588, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.