Online GCD Calculator is useful to find the GCD of 215, 900, 364, 684 quickly. Get the easiest ways to solve the greatest common divisor of 215, 900, 364, 684 i.e 1 in different methods as follows.
Given Input numbers are 215, 900, 364, 684
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 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
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 (215, 900, 364, 684) = 1.
Given numbers are 215, 900, 364, 684
The list of prime factors of all numbers are
Prime factors of 215 are 5 x 43
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 364 are 2 x 2 x 7 x 13
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 215, 900, 364, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(215, 900) = 38700
GCD(215, 900) = ( 215 x 900 ) / 38700
= 215 / 900
= 215
Step2:
LCM(5, 364) = 1820
GCD(5, 364) = ( 5 x 364 ) / 1820
= 5 / 364
= 5
Step3:
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
= 1 / 684
= 1
So, Greatest Common Divisor of 215, 900, 364, 684 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 215, 900, 364, 684
The greatest common divisor of numbers 215, 900, 364, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 215, 900, 364, 684 is 1.
1. What is the GCD of 215, 900, 364, 684?
GCD of given numbers 215, 900, 364, 684 is 1
2. How to calculate the greatest common divisor of 215, 900, 364, 684?
We can find the highest common divisor of 215, 900, 364, 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 215, 900, 364, 684 i.e 1.
3. How can I use the GCD of 215, 900, 364, 684Calculator?
Out the numbers 215, 900, 364, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.