Online GCD Calculator is useful to find the GCD of 988, 212, 238, 105 quickly. Get the easiest ways to solve the greatest common divisor of 988, 212, 238, 105 i.e 1 in different methods as follows.
Given Input numbers are 988, 212, 238, 105
In the factoring method, we have to find the divisors of all numbers
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
GCD of numbers is the greatest common divisor
So, the GCD (988, 212, 238, 105) = 1.
Given numbers are 988, 212, 238, 105
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 212 are 2 x 2 x 53
Prime factors of 238 are 2 x 7 x 17
Prime factors of 105 are 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 988, 212, 238, 105
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 212) = 52364
GCD(988, 212) = ( 988 x 212 ) / 52364
= 988 / 212
= 988
Step2:
LCM(4, 238) = 476
GCD(4, 238) = ( 4 x 238 ) / 476
= 4 / 238
= 4
Step3:
LCM(2, 105) = 210
GCD(2, 105) = ( 2 x 105 ) / 210
= 2 / 105
= 2
So, Greatest Common Divisor of 988, 212, 238, 105 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 988, 212, 238, 105
The greatest common divisor of numbers 988, 212, 238, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 212, 238, 105 is 1.
1. What is the GCD of 988, 212, 238, 105?
GCD of given numbers 988, 212, 238, 105 is 1
2. How to calculate the greatest common divisor of 988, 212, 238, 105?
We can find the highest common divisor of 988, 212, 238, 105 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 988, 212, 238, 105 i.e 1.
3. How can I use the GCD of 988, 212, 238, 105Calculator?
Out the numbers 988, 212, 238, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.