Online GCD Calculator is useful to find the GCD of 360, 351, 644, 484 quickly. Get the easiest ways to solve the greatest common divisor of 360, 351, 644, 484 i.e 1 in different methods as follows.
Given Input numbers are 360, 351, 644, 484
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 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
GCD of numbers is the greatest common divisor
So, the GCD (360, 351, 644, 484) = 1.
Given numbers are 360, 351, 644, 484
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 351 are 3 x 3 x 3 x 13
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 484 are 2 x 2 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 351, 644, 484
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 351) = 14040
GCD(360, 351) = ( 360 x 351 ) / 14040
= 360 / 351
= 360
Step2:
LCM(9, 644) = 5796
GCD(9, 644) = ( 9 x 644 ) / 5796
= 9 / 644
= 9
Step3:
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
= 1 / 484
= 1
So, Greatest Common Divisor of 360, 351, 644, 484 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 351, 644, 484
The greatest common divisor of numbers 360, 351, 644, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 351, 644, 484 is 1.
1. What is the GCD of 360, 351, 644, 484?
GCD of given numbers 360, 351, 644, 484 is 1
2. How to calculate the greatest common divisor of 360, 351, 644, 484?
We can find the highest common divisor of 360, 351, 644, 484 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, 351, 644, 484 i.e 1.
3. How can I use the GCD of 360, 351, 644, 484Calculator?
Out the numbers 360, 351, 644, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.