Online GCD Calculator is useful to find the GCD of 198, 771, 423, 148 quickly. Get the easiest ways to solve the greatest common divisor of 198, 771, 423, 148 i.e 1 in different methods as follows.
Given Input numbers are 198, 771, 423, 148
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 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
GCD of numbers is the greatest common divisor
So, the GCD (198, 771, 423, 148) = 1.
Given numbers are 198, 771, 423, 148
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 771 are 3 x 257
Prime factors of 423 are 3 x 3 x 47
Prime factors of 148 are 2 x 2 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 198, 771, 423, 148
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 771) = 50886
GCD(198, 771) = ( 198 x 771 ) / 50886
= 198 / 771
= 198
Step2:
LCM(3, 423) = 423
GCD(3, 423) = ( 3 x 423 ) / 423
= 3 / 423
= 3
Step3:
LCM(3, 148) = 444
GCD(3, 148) = ( 3 x 148 ) / 444
= 3 / 148
= 3
So, Greatest Common Divisor of 198, 771, 423, 148 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 771, 423, 148
The greatest common divisor of numbers 198, 771, 423, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 771, 423, 148 is 1.
1. What is the GCD of 198, 771, 423, 148?
GCD of given numbers 198, 771, 423, 148 is 1
2. How to calculate the greatest common divisor of 198, 771, 423, 148?
We can find the highest common divisor of 198, 771, 423, 148 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, 771, 423, 148 i.e 1.
3. How can I use the GCD of 198, 771, 423, 148Calculator?
Out the numbers 198, 771, 423, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.