Online GCD Calculator is useful to find the GCD of 215, 670, 408, 360 quickly. Get the easiest ways to solve the greatest common divisor of 215, 670, 408, 360 i.e 1 in different methods as follows.
Given Input numbers are 215, 670, 408, 360
In the factoring method, we have to find the divisors of all numbers
Divisors of 215 :
The positive integer divisors of 215 that completely divides 215 are.
1, 5, 43, 215
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
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 (215, 670, 408, 360) = 1.
Given numbers are 215, 670, 408, 360
The list of prime factors of all numbers are
Prime factors of 215 are 5 x 43
Prime factors of 670 are 2 x 5 x 67
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
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 215, 670, 408, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(215, 670) = 28810
GCD(215, 670) = ( 215 x 670 ) / 28810
= 215 / 670
= 215
Step2:
LCM(5, 408) = 2040
GCD(5, 408) = ( 5 x 408 ) / 2040
= 5 / 408
= 5
Step3:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
So, Greatest Common Divisor of 215, 670, 408, 360 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 215, 670, 408, 360
The greatest common divisor of numbers 215, 670, 408, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 215, 670, 408, 360 is 1.
1. What is the GCD of 215, 670, 408, 360?
GCD of given numbers 215, 670, 408, 360 is 1
2. How to calculate the greatest common divisor of 215, 670, 408, 360?
We can find the highest common divisor of 215, 670, 408, 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 215, 670, 408, 360 i.e 1.
3. How can I use the GCD of 215, 670, 408, 360Calculator?
Out the numbers 215, 670, 408, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.