Online GCD Calculator is useful to find the GCD of 464, 615, 423, 360 quickly. Get the easiest ways to solve the greatest common divisor of 464, 615, 423, 360 i.e 1 in different methods as follows.
Given Input numbers are 464, 615, 423, 360
In the factoring method, we have to find the divisors of all numbers
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 615 :
The positive integer divisors of 615 that completely divides 615 are.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
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
GCD of numbers is the greatest common divisor
So, the GCD (464, 615, 423, 360) = 1.
Given numbers are 464, 615, 423, 360
The list of prime factors of all numbers are
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 615 are 3 x 5 x 41
Prime factors of 423 are 3 x 3 x 47
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 464, 615, 423, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(464, 615) = 285360
GCD(464, 615) = ( 464 x 615 ) / 285360
= 464 / 615
= 464
Step2:
LCM(1, 423) = 423
GCD(1, 423) = ( 1 x 423 ) / 423
= 1 / 423
= 1
Step3:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
So, Greatest Common Divisor of 464, 615, 423, 360 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 464, 615, 423, 360
The greatest common divisor of numbers 464, 615, 423, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 615, 423, 360 is 1.
1. What is the GCD of 464, 615, 423, 360?
GCD of given numbers 464, 615, 423, 360 is 1
2. How to calculate the greatest common divisor of 464, 615, 423, 360?
We can find the highest common divisor of 464, 615, 423, 360 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 464, 615, 423, 360 i.e 1.
3. How can I use the GCD of 464, 615, 423, 360Calculator?
Out the numbers 464, 615, 423, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.