Online GCD Calculator is useful to find the GCD of 820, 360, 444 quickly. Get the easiest ways to solve the greatest common divisor of 820, 360, 444 i.e 4 in different methods as follows.
Given Input numbers are 820, 360, 444
In the factoring method, we have to find the divisors of all numbers
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
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 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
GCD of numbers is the greatest common divisor
So, the GCD (820, 360, 444) = 4.
Given numbers are 820, 360, 444
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 444 are 2 x 2 x 3 x 37
The highest common occurrence is 22
Therefore, GCD of 820, 360, 444 is 4.
Given numbers are 820, 360, 444
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 360) = 14760
GCD(820, 360) = ( 820 x 360 ) / 14760
= 820 / 360
= 820
Step2:
LCM(20, 444) = 2220
GCD(20, 444) = ( 20 x 444 ) / 2220
= 20 / 444
= 20
So, Greatest Common Divisor of 820, 360, 444 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 360, 444
The greatest common divisor of numbers 820, 360, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 360, 444 is 4.
1. What is the GCD of 820, 360, 444?
GCD of given numbers 820, 360, 444 is 4
2. How to calculate the greatest common divisor of 820, 360, 444?
We can find the highest common divisor of 820, 360, 444 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 820, 360, 444 i.e 4.
3. How can I use the GCD of 820, 360, 444Calculator?
Out the numbers 820, 360, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.