Online GCD Calculator is useful to find the GCD of 118, 132, 198, 638 quickly. Get the easiest ways to solve the greatest common divisor of 118, 132, 198, 638 i.e 2 in different methods as follows.
Given Input numbers are 118, 132, 198, 638
In the factoring method, we have to find the divisors of all numbers
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
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 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
GCD of numbers is the greatest common divisor
So, the GCD (118, 132, 198, 638) = 2.
Given numbers are 118, 132, 198, 638
The list of prime factors of all numbers are
Prime factors of 118 are 2 x 59
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 638 are 2 x 11 x 29
The highest common occurrence is 21
Therefore, GCD of 118, 132, 198, 638 is 2.
Given numbers are 118, 132, 198, 638
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(118, 132) = 7788
GCD(118, 132) = ( 118 x 132 ) / 7788
= 118 / 132
= 118
Step2:
LCM(2, 198) = 198
GCD(2, 198) = ( 2 x 198 ) / 198
= 2 / 198
= 2
Step3:
LCM(2, 638) = 638
GCD(2, 638) = ( 2 x 638 ) / 638
= 2 / 638
= 2
So, Greatest Common Divisor of 118, 132, 198, 638 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 118, 132, 198, 638
The greatest common divisor of numbers 118, 132, 198, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 132, 198, 638 is 2.
1. What is the GCD of 118, 132, 198, 638?
GCD of given numbers 118, 132, 198, 638 is 2
2. How to calculate the greatest common divisor of 118, 132, 198, 638?
We can find the highest common divisor of 118, 132, 198, 638 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 118, 132, 198, 638 i.e 2.
3. How can I use the GCD of 118, 132, 198, 638Calculator?
Out the numbers 118, 132, 198, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.