Online GCD Calculator is useful to find the GCD of 124, 656, 662, 198 quickly. Get the easiest ways to solve the greatest common divisor of 124, 656, 662, 198 i.e 2 in different methods as follows.
Given Input numbers are 124, 656, 662, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 662 :
The positive integer divisors of 662 that completely divides 662 are.
1, 2, 331, 662
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 (124, 656, 662, 198) = 2.
Given numbers are 124, 656, 662, 198
The list of prime factors of all numbers are
Prime factors of 124 are 2 x 2 x 31
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 662 are 2 x 331
Prime factors of 198 are 2 x 3 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 124, 656, 662, 198 is 2.
Given numbers are 124, 656, 662, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(124, 656) = 20336
GCD(124, 656) = ( 124 x 656 ) / 20336
= 124 / 656
= 124
Step2:
LCM(4, 662) = 1324
GCD(4, 662) = ( 4 x 662 ) / 1324
= 4 / 662
= 4
Step3:
LCM(2, 198) = 198
GCD(2, 198) = ( 2 x 198 ) / 198
= 2 / 198
= 2
So, Greatest Common Divisor of 124, 656, 662, 198 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 124, 656, 662, 198
The greatest common divisor of numbers 124, 656, 662, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 124, 656, 662, 198 is 2.
1. What is the GCD of 124, 656, 662, 198?
GCD of given numbers 124, 656, 662, 198 is 2
2. How to calculate the greatest common divisor of 124, 656, 662, 198?
We can find the highest common divisor of 124, 656, 662, 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 124, 656, 662, 198 i.e 2.
3. How can I use the GCD of 124, 656, 662, 198Calculator?
Out the numbers 124, 656, 662, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.