Online GCD Calculator is useful to find the GCD of 198, 118, 100, 464 quickly. Get the easiest ways to solve the greatest common divisor of 198, 118, 100, 464 i.e 2 in different methods as follows.
Given Input numbers are 198, 118, 100, 464
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 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
GCD of numbers is the greatest common divisor
So, the GCD (198, 118, 100, 464) = 2.
Given numbers are 198, 118, 100, 464
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 118 are 2 x 59
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 198, 118, 100, 464 is 2.
Given numbers are 198, 118, 100, 464
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 118) = 11682
GCD(198, 118) = ( 198 x 118 ) / 11682
= 198 / 118
= 198
Step2:
LCM(2, 100) = 100
GCD(2, 100) = ( 2 x 100 ) / 100
= 2 / 100
= 2
Step3:
LCM(2, 464) = 464
GCD(2, 464) = ( 2 x 464 ) / 464
= 2 / 464
= 2
So, Greatest Common Divisor of 198, 118, 100, 464 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 118, 100, 464
The greatest common divisor of numbers 198, 118, 100, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 118, 100, 464 is 2.
1. What is the GCD of 198, 118, 100, 464?
GCD of given numbers 198, 118, 100, 464 is 2
2. How to calculate the greatest common divisor of 198, 118, 100, 464?
We can find the highest common divisor of 198, 118, 100, 464 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, 118, 100, 464 i.e 2.
3. How can I use the GCD of 198, 118, 100, 464Calculator?
Out the numbers 198, 118, 100, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.