Online GCD Calculator is useful to find the GCD of 360, 444, 735, 199 quickly. Get the easiest ways to solve the greatest common divisor of 360, 444, 735, 199 i.e 1 in different methods as follows.
Given Input numbers are 360, 444, 735, 199
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 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 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 199 :
The positive integer divisors of 199 that completely divides 199 are.
1, 199
GCD of numbers is the greatest common divisor
So, the GCD (360, 444, 735, 199) = 1.
Given numbers are 360, 444, 735, 199
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 444 are 2 x 2 x 3 x 37
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 199 are 199
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 444, 735, 199
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 444) = 13320
GCD(360, 444) = ( 360 x 444 ) / 13320
= 360 / 444
= 360
Step2:
LCM(12, 735) = 2940
GCD(12, 735) = ( 12 x 735 ) / 2940
= 12 / 735
= 12
Step3:
LCM(3, 199) = 597
GCD(3, 199) = ( 3 x 199 ) / 597
= 3 / 199
= 3
So, Greatest Common Divisor of 360, 444, 735, 199 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 444, 735, 199
The greatest common divisor of numbers 360, 444, 735, 199 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 444, 735, 199 is 1.
1. What is the GCD of 360, 444, 735, 199?
GCD of given numbers 360, 444, 735, 199 is 1
2. How to calculate the greatest common divisor of 360, 444, 735, 199?
We can find the highest common divisor of 360, 444, 735, 199 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, 444, 735, 199 i.e 1.
3. How can I use the GCD of 360, 444, 735, 199Calculator?
Out the numbers 360, 444, 735, 199 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.