Online GCD Calculator is useful to find the GCD of 105, 600, 822, 444 quickly. Get the easiest ways to solve the greatest common divisor of 105, 600, 822, 444 i.e 3 in different methods as follows.
Given Input numbers are 105, 600, 822, 444
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
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 (105, 600, 822, 444) = 3.
Given numbers are 105, 600, 822, 444
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 822 are 2 x 3 x 137
Prime factors of 444 are 2 x 2 x 3 x 37
The highest common occurrence is 31
Therefore, GCD of 105, 600, 822, 444 is 3.
Given numbers are 105, 600, 822, 444
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 600) = 4200
GCD(105, 600) = ( 105 x 600 ) / 4200
= 105 / 600
= 105
Step2:
LCM(15, 822) = 4110
GCD(15, 822) = ( 15 x 822 ) / 4110
= 15 / 822
= 15
Step3:
LCM(3, 444) = 444
GCD(3, 444) = ( 3 x 444 ) / 444
= 3 / 444
= 3
So, Greatest Common Divisor of 105, 600, 822, 444 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 600, 822, 444
The greatest common divisor of numbers 105, 600, 822, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 600, 822, 444 is 3.
1. What is the GCD of 105, 600, 822, 444?
GCD of given numbers 105, 600, 822, 444 is 3
2. How to calculate the greatest common divisor of 105, 600, 822, 444?
We can find the highest common divisor of 105, 600, 822, 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 105, 600, 822, 444 i.e 3.
3. How can I use the GCD of 105, 600, 822, 444Calculator?
Out the numbers 105, 600, 822, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.