Online GCD Calculator is useful to find the GCD of 360, 699, 316, 644 quickly. Get the easiest ways to solve the greatest common divisor of 360, 699, 316, 644 i.e 1 in different methods as follows.
Given Input numbers are 360, 699, 316, 644
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 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
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
GCD of numbers is the greatest common divisor
So, the GCD (360, 699, 316, 644) = 1.
Given numbers are 360, 699, 316, 644
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 699 are 3 x 233
Prime factors of 316 are 2 x 2 x 79
Prime factors of 644 are 2 x 2 x 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 699, 316, 644
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 699) = 83880
GCD(360, 699) = ( 360 x 699 ) / 83880
= 360 / 699
= 360
Step2:
LCM(3, 316) = 948
GCD(3, 316) = ( 3 x 316 ) / 948
= 3 / 316
= 3
Step3:
LCM(1, 644) = 644
GCD(1, 644) = ( 1 x 644 ) / 644
= 1 / 644
= 1
So, Greatest Common Divisor of 360, 699, 316, 644 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 699, 316, 644
The greatest common divisor of numbers 360, 699, 316, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 699, 316, 644 is 1.
1. What is the GCD of 360, 699, 316, 644?
GCD of given numbers 360, 699, 316, 644 is 1
2. How to calculate the greatest common divisor of 360, 699, 316, 644?
We can find the highest common divisor of 360, 699, 316, 644 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, 699, 316, 644 i.e 1.
3. How can I use the GCD of 360, 699, 316, 644Calculator?
Out the numbers 360, 699, 316, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.