Online GCD Calculator is useful to find the GCD of 360, 495, 196, 984 quickly. Get the easiest ways to solve the greatest common divisor of 360, 495, 196, 984 i.e 1 in different methods as follows.
Given Input numbers are 360, 495, 196, 984
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 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
GCD of numbers is the greatest common divisor
So, the GCD (360, 495, 196, 984) = 1.
Given numbers are 360, 495, 196, 984
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 495 are 3 x 3 x 5 x 11
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 495, 196, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 495) = 3960
GCD(360, 495) = ( 360 x 495 ) / 3960
= 360 / 495
= 360
Step2:
LCM(45, 196) = 8820
GCD(45, 196) = ( 45 x 196 ) / 8820
= 45 / 196
= 45
Step3:
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
= 1 / 984
= 1
So, Greatest Common Divisor of 360, 495, 196, 984 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 495, 196, 984
The greatest common divisor of numbers 360, 495, 196, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 495, 196, 984 is 1.
1. What is the GCD of 360, 495, 196, 984?
GCD of given numbers 360, 495, 196, 984 is 1
2. How to calculate the greatest common divisor of 360, 495, 196, 984?
We can find the highest common divisor of 360, 495, 196, 984 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, 495, 196, 984 i.e 1.
3. How can I use the GCD of 360, 495, 196, 984Calculator?
Out the numbers 360, 495, 196, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.