Online GCD Calculator is useful to find the GCD of 360, 457, 965, 684 quickly. Get the easiest ways to solve the greatest common divisor of 360, 457, 965, 684 i.e 1 in different methods as follows.
Given Input numbers are 360, 457, 965, 684
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 457 :
The positive integer divisors of 457 that completely divides 457 are.
1, 457
Divisors of 965 :
The positive integer divisors of 965 that completely divides 965 are.
1, 5, 193, 965
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
GCD of numbers is the greatest common divisor
So, the GCD (360, 457, 965, 684) = 1.
Given numbers are 360, 457, 965, 684
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 457 are 457
Prime factors of 965 are 5 x 193
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 457, 965, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 457) = 164520
GCD(360, 457) = ( 360 x 457 ) / 164520
= 360 / 457
= 360
Step2:
LCM(1, 965) = 965
GCD(1, 965) = ( 1 x 965 ) / 965
= 1 / 965
= 1
Step3:
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
= 1 / 684
= 1
So, Greatest Common Divisor of 360, 457, 965, 684 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 457, 965, 684
The greatest common divisor of numbers 360, 457, 965, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 457, 965, 684 is 1.
1. What is the GCD of 360, 457, 965, 684?
GCD of given numbers 360, 457, 965, 684 is 1
2. How to calculate the greatest common divisor of 360, 457, 965, 684?
We can find the highest common divisor of 360, 457, 965, 684 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, 457, 965, 684 i.e 1.
3. How can I use the GCD of 360, 457, 965, 684Calculator?
Out the numbers 360, 457, 965, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.