Online GCD Calculator is useful to find the GCD of 948, 188, 205, 198 quickly. Get the easiest ways to solve the greatest common divisor of 948, 188, 205, 198 i.e 1 in different methods as follows.
Given Input numbers are 948, 188, 205, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
Divisors of 205 :
The positive integer divisors of 205 that completely divides 205 are.
1, 5, 41, 205
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 (948, 188, 205, 198) = 1.
Given numbers are 948, 188, 205, 198
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 188 are 2 x 2 x 47
Prime factors of 205 are 5 x 41
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 948, 188, 205, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 188) = 44556
GCD(948, 188) = ( 948 x 188 ) / 44556
= 948 / 188
= 948
Step2:
LCM(4, 205) = 820
GCD(4, 205) = ( 4 x 205 ) / 820
= 4 / 205
= 4
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 948, 188, 205, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 948, 188, 205, 198
The greatest common divisor of numbers 948, 188, 205, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 188, 205, 198 is 1.
1. What is the GCD of 948, 188, 205, 198?
GCD of given numbers 948, 188, 205, 198 is 1
2. How to calculate the greatest common divisor of 948, 188, 205, 198?
We can find the highest common divisor of 948, 188, 205, 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 948, 188, 205, 198 i.e 1.
3. How can I use the GCD of 948, 188, 205, 198Calculator?
Out the numbers 948, 188, 205, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.