Online GCD Calculator is useful to find the GCD of 198, 421, 921, 864 quickly. Get the easiest ways to solve the greatest common divisor of 198, 421, 921, 864 i.e 1 in different methods as follows.
Given Input numbers are 198, 421, 921, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
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
GCD of numbers is the greatest common divisor
So, the GCD (198, 421, 921, 864) = 1.
Given numbers are 198, 421, 921, 864
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 421 are 421
Prime factors of 921 are 3 x 307
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 198, 421, 921, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 421) = 83358
GCD(198, 421) = ( 198 x 421 ) / 83358
= 198 / 421
= 198
Step2:
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
= 1 / 921
= 1
Step3:
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
= 1 / 864
= 1
So, Greatest Common Divisor of 198, 421, 921, 864 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 421, 921, 864
The greatest common divisor of numbers 198, 421, 921, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 421, 921, 864 is 1.
1. What is the GCD of 198, 421, 921, 864?
GCD of given numbers 198, 421, 921, 864 is 1
2. How to calculate the greatest common divisor of 198, 421, 921, 864?
We can find the highest common divisor of 198, 421, 921, 864 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 198, 421, 921, 864 i.e 1.
3. How can I use the GCD of 198, 421, 921, 864Calculator?
Out the numbers 198, 421, 921, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.