Online GCD Calculator is useful to find the GCD of 466, 364, 497, 198 quickly. Get the easiest ways to solve the greatest common divisor of 466, 364, 497, 198 i.e 1 in different methods as follows.
Given Input numbers are 466, 364, 497, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
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 497 :
The positive integer divisors of 497 that completely divides 497 are.
1, 7, 71, 497
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
GCD of numbers is the greatest common divisor
So, the GCD (466, 364, 497, 198) = 1.
Given numbers are 466, 364, 497, 198
The list of prime factors of all numbers are
Prime factors of 466 are 2 x 233
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 497 are 7 x 71
Prime factors of 198 are 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 466, 364, 497, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(466, 364) = 84812
GCD(466, 364) = ( 466 x 364 ) / 84812
= 466 / 364
= 466
Step2:
LCM(2, 497) = 994
GCD(2, 497) = ( 2 x 497 ) / 994
= 2 / 497
= 2
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 466, 364, 497, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 466, 364, 497, 198
The greatest common divisor of numbers 466, 364, 497, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 466, 364, 497, 198 is 1.
1. What is the GCD of 466, 364, 497, 198?
GCD of given numbers 466, 364, 497, 198 is 1
2. How to calculate the greatest common divisor of 466, 364, 497, 198?
We can find the highest common divisor of 466, 364, 497, 198 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 466, 364, 497, 198 i.e 1.
3. How can I use the GCD of 466, 364, 497, 198Calculator?
Out the numbers 466, 364, 497, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.