Online GCD Calculator is useful to find the GCD of 414, 864, 300, 355 quickly. Get the easiest ways to solve the greatest common divisor of 414, 864, 300, 355 i.e 1 in different methods as follows.
Given Input numbers are 414, 864, 300, 355
In the factoring method, we have to find the divisors of all numbers
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
GCD of numbers is the greatest common divisor
So, the GCD (414, 864, 300, 355) = 1.
Given numbers are 414, 864, 300, 355
The list of prime factors of all numbers are
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 355 are 5 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 414, 864, 300, 355
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(414, 864) = 19872
GCD(414, 864) = ( 414 x 864 ) / 19872
= 414 / 864
= 414
Step2:
LCM(18, 300) = 900
GCD(18, 300) = ( 18 x 300 ) / 900
= 18 / 300
= 18
Step3:
LCM(6, 355) = 2130
GCD(6, 355) = ( 6 x 355 ) / 2130
= 6 / 355
= 6
So, Greatest Common Divisor of 414, 864, 300, 355 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 414, 864, 300, 355
The greatest common divisor of numbers 414, 864, 300, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 864, 300, 355 is 1.
1. What is the GCD of 414, 864, 300, 355?
GCD of given numbers 414, 864, 300, 355 is 1
2. How to calculate the greatest common divisor of 414, 864, 300, 355?
We can find the highest common divisor of 414, 864, 300, 355 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 414, 864, 300, 355 i.e 1.
3. How can I use the GCD of 414, 864, 300, 355Calculator?
Out the numbers 414, 864, 300, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.