GCD of 164, 584, 420 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 164, 584, 420 quickly. Get the easiest ways to solve the greatest common divisor of 164, 584, 420 i.e 4 in different methods as follows.
Given Input numbers are 164, 584, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
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 (164, 584, 420) = 4.
Given numbers are 164, 584, 420
The list of prime factors of all numbers are
Prime factors of 164 are 2 x 2 x 41
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 22
Therefore, GCD of 164, 584, 420 is 4.
Steps to Calculate GCD of 164, 584, 420 using LCM Formula
Given numbers are 164, 584, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(164, 584) = 23944
GCD(164, 584) = ( 164 x 584 ) / 23944
= 164 / 584
= 164
Step2:
LCM(4, 420) = 420
GCD(4, 420) = ( 4 x 420 ) / 420
= 4 / 420
= 4
So, Greatest Common Divisor of 164, 584, 420 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 164, 584, 420
Given numbers are 164, 584, 420
The greatest common divisor of numbers 164, 584, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 584, 420 is 4.
FAQs on GCD of 164, 584, 420 Calculator
1. What is the GCD of 164, 584, 420?
GCD of given numbers 164, 584, 420 is 4
2. How to calculate the greatest common divisor of 164, 584, 420?
We can find the highest common divisor of 164, 584, 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 164, 584, 420 i.e 4.
3. How can I use the GCD of 164, 584, 420Calculator?
Out the numbers 164, 584, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.