Online GCD Calculator is useful to find the GCD of 216, 864, 998, 157 quickly. Get the easiest ways to solve the greatest common divisor of 216, 864, 998, 157 i.e 1 in different methods as follows.
Given Input numbers are 216, 864, 998, 157
In the factoring method, we have to find the divisors of all numbers
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
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 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 157 :
The positive integer divisors of 157 that completely divides 157 are.
1, 157
GCD of numbers is the greatest common divisor
So, the GCD (216, 864, 998, 157) = 1.
Given numbers are 216, 864, 998, 157
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 998 are 2 x 499
Prime factors of 157 are 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 216, 864, 998, 157
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 864) = 864
GCD(216, 864) = ( 216 x 864 ) / 864
= 216 / 864
= 216
Step2:
LCM(216, 998) = 107784
GCD(216, 998) = ( 216 x 998 ) / 107784
= 216 / 998
= 216
Step3:
LCM(2, 157) = 314
GCD(2, 157) = ( 2 x 157 ) / 314
= 2 / 157
= 2
So, Greatest Common Divisor of 216, 864, 998, 157 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 864, 998, 157
The greatest common divisor of numbers 216, 864, 998, 157 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 864, 998, 157 is 1.
1. What is the GCD of 216, 864, 998, 157?
GCD of given numbers 216, 864, 998, 157 is 1
2. How to calculate the greatest common divisor of 216, 864, 998, 157?
We can find the highest common divisor of 216, 864, 998, 157 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 216, 864, 998, 157 i.e 1.
3. How can I use the GCD of 216, 864, 998, 157Calculator?
Out the numbers 216, 864, 998, 157 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.