GCD of 444, 840, 60 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 444, 840, 60 quickly. Get the easiest ways to solve the greatest common divisor of 444, 840, 60 i.e 12 in different methods as follows.
Given Input numbers are 444, 840, 60
In the factoring method, we have to find the divisors of all numbers
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 60 :
The positive integer divisors of 60 that completely divides 60 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
GCD of numbers is the greatest common divisor
So, the GCD (444, 840, 60) = 12.
Given numbers are 444, 840, 60
The list of prime factors of all numbers are
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 60 are 2 x 2 x 3 x 5
The highest common occurrence is 22 x 31
Therefore, GCD of 444, 840, 60 is 12.
Steps to Calculate GCD of 444, 840, 60 using LCM Formula
Given numbers are 444, 840, 60
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(444, 840) = 31080
GCD(444, 840) = ( 444 x 840 ) / 31080
= 444 / 840
= 444
Step2:
LCM(12, 60) = 60
GCD(12, 60) = ( 12 x 60 ) / 60
= 12 / 60
= 12
So, Greatest Common Divisor of 444, 840, 60 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 444, 840, 60
Given numbers are 444, 840, 60
The greatest common divisor of numbers 444, 840, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 444, 840, 60 is 12.
FAQs on GCD of 444, 840, 60 Calculator
1. What is the GCD of 444, 840, 60?
GCD of given numbers 444, 840, 60 is 12
2. How to calculate the greatest common divisor of 444, 840, 60?
We can find the highest common divisor of 444, 840, 60 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 444, 840, 60 i.e 12.
3. How can I use the GCD of 444, 840, 60Calculator?
Out the numbers 444, 840, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.