Online GCD Calculator is useful to find the GCD of 198, 138, 238, 692 quickly. Get the easiest ways to solve the greatest common divisor of 198, 138, 238, 692 i.e 2 in different methods as follows.
Given Input numbers are 198, 138, 238, 692
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 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
GCD of numbers is the greatest common divisor
So, the GCD (198, 138, 238, 692) = 2.
Given numbers are 198, 138, 238, 692
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 138 are 2 x 3 x 23
Prime factors of 238 are 2 x 7 x 17
Prime factors of 692 are 2 x 2 x 173
The highest common occurrence is 21
Therefore, GCD of 198, 138, 238, 692 is 2.
Given numbers are 198, 138, 238, 692
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 138) = 4554
GCD(198, 138) = ( 198 x 138 ) / 4554
= 198 / 138
= 198
Step2:
LCM(6, 238) = 714
GCD(6, 238) = ( 6 x 238 ) / 714
= 6 / 238
= 6
Step3:
LCM(2, 692) = 692
GCD(2, 692) = ( 2 x 692 ) / 692
= 2 / 692
= 2
So, Greatest Common Divisor of 198, 138, 238, 692 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 138, 238, 692
The greatest common divisor of numbers 198, 138, 238, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 138, 238, 692 is 2.
1. What is the GCD of 198, 138, 238, 692?
GCD of given numbers 198, 138, 238, 692 is 2
2. How to calculate the greatest common divisor of 198, 138, 238, 692?
We can find the highest common divisor of 198, 138, 238, 692 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, 138, 238, 692 i.e 2.
3. How can I use the GCD of 198, 138, 238, 692Calculator?
Out the numbers 198, 138, 238, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.