Online GCD Calculator is useful to find the GCD of 315, 221, 853, 198 quickly. Get the easiest ways to solve the greatest common divisor of 315, 221, 853, 198 i.e 1 in different methods as follows.
Given Input numbers are 315, 221, 853, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 853 :
The positive integer divisors of 853 that completely divides 853 are.
1, 853
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 (315, 221, 853, 198) = 1.
Given numbers are 315, 221, 853, 198
The list of prime factors of all numbers are
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 221 are 13 x 17
Prime factors of 853 are 853
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 315, 221, 853, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(315, 221) = 69615
GCD(315, 221) = ( 315 x 221 ) / 69615
= 315 / 221
= 315
Step2:
LCM(1, 853) = 853
GCD(1, 853) = ( 1 x 853 ) / 853
= 1 / 853
= 1
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 315, 221, 853, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 315, 221, 853, 198
The greatest common divisor of numbers 315, 221, 853, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 221, 853, 198 is 1.
1. What is the GCD of 315, 221, 853, 198?
GCD of given numbers 315, 221, 853, 198 is 1
2. How to calculate the greatest common divisor of 315, 221, 853, 198?
We can find the highest common divisor of 315, 221, 853, 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 315, 221, 853, 198 i.e 1.
3. How can I use the GCD of 315, 221, 853, 198Calculator?
Out the numbers 315, 221, 853, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.