Online GCD Calculator is useful to find the GCD of 218, 496, 564, 867 quickly. Get the easiest ways to solve the greatest common divisor of 218, 496, 564, 867 i.e 1 in different methods as follows.
Given Input numbers are 218, 496, 564, 867
In the factoring method, we have to find the divisors of all numbers
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
GCD of numbers is the greatest common divisor
So, the GCD (218, 496, 564, 867) = 1.
Given numbers are 218, 496, 564, 867
The list of prime factors of all numbers are
Prime factors of 218 are 2 x 109
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 867 are 3 x 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 218, 496, 564, 867
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(218, 496) = 54064
GCD(218, 496) = ( 218 x 496 ) / 54064
= 218 / 496
= 218
Step2:
LCM(2, 564) = 564
GCD(2, 564) = ( 2 x 564 ) / 564
= 2 / 564
= 2
Step3:
LCM(2, 867) = 1734
GCD(2, 867) = ( 2 x 867 ) / 1734
= 2 / 867
= 2
So, Greatest Common Divisor of 218, 496, 564, 867 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 218, 496, 564, 867
The greatest common divisor of numbers 218, 496, 564, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 496, 564, 867 is 1.
1. What is the GCD of 218, 496, 564, 867?
GCD of given numbers 218, 496, 564, 867 is 1
2. How to calculate the greatest common divisor of 218, 496, 564, 867?
We can find the highest common divisor of 218, 496, 564, 867 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 218, 496, 564, 867 i.e 1.
3. How can I use the GCD of 218, 496, 564, 867Calculator?
Out the numbers 218, 496, 564, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.