GCD of 360, 168, 420 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 360, 168, 420 quickly. Get the easiest ways to solve the greatest common divisor of 360, 168, 420 i.e 12 in different methods as follows.
Given Input numbers are 360, 168, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
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 (360, 168, 420) = 12.
Given numbers are 360, 168, 420
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 168 are 2 x 2 x 2 x 3 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 360, 168, 420 is 12.
Steps to Calculate GCD of 360, 168, 420 using LCM Formula
Given numbers are 360, 168, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 168) = 2520
GCD(360, 168) = ( 360 x 168 ) / 2520
= 360 / 168
= 360
Step2:
LCM(24, 420) = 840
GCD(24, 420) = ( 24 x 420 ) / 840
= 24 / 420
= 24
So, Greatest Common Divisor of 360, 168, 420 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 360, 168, 420
Given numbers are 360, 168, 420
The greatest common divisor of numbers 360, 168, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 168, 420 is 12.
FAQs on GCD of 360, 168, 420 Calculator
1. What is the GCD of 360, 168, 420?
GCD of given numbers 360, 168, 420 is 12
2. How to calculate the greatest common divisor of 360, 168, 420?
We can find the highest common divisor of 360, 168, 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 360, 168, 420 i.e 12.
3. How can I use the GCD of 360, 168, 420Calculator?
Out the numbers 360, 168, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.