Online GCD Calculator is useful to find the GCD of 360, 856, 221, 985 quickly. Get the easiest ways to solve the greatest common divisor of 360, 856, 221, 985 i.e 1 in different methods as follows.
Given Input numbers are 360, 856, 221, 985
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 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 985 :
The positive integer divisors of 985 that completely divides 985 are.
1, 5, 197, 985
GCD of numbers is the greatest common divisor
So, the GCD (360, 856, 221, 985) = 1.
Given numbers are 360, 856, 221, 985
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 856 are 2 x 2 x 2 x 107
Prime factors of 221 are 13 x 17
Prime factors of 985 are 5 x 197
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 856, 221, 985
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 856) = 38520
GCD(360, 856) = ( 360 x 856 ) / 38520
= 360 / 856
= 360
Step2:
LCM(8, 221) = 1768
GCD(8, 221) = ( 8 x 221 ) / 1768
= 8 / 221
= 8
Step3:
LCM(1, 985) = 985
GCD(1, 985) = ( 1 x 985 ) / 985
= 1 / 985
= 1
So, Greatest Common Divisor of 360, 856, 221, 985 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 856, 221, 985
The greatest common divisor of numbers 360, 856, 221, 985 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 856, 221, 985 is 1.
1. What is the GCD of 360, 856, 221, 985?
GCD of given numbers 360, 856, 221, 985 is 1
2. How to calculate the greatest common divisor of 360, 856, 221, 985?
We can find the highest common divisor of 360, 856, 221, 985 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, 856, 221, 985 i.e 1.
3. How can I use the GCD of 360, 856, 221, 985Calculator?
Out the numbers 360, 856, 221, 985 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.