Online GCD Calculator is useful to find the GCD of 988, 463, 380, 214 quickly. Get the easiest ways to solve the greatest common divisor of 988, 463, 380, 214 i.e 1 in different methods as follows.
Given Input numbers are 988, 463, 380, 214
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 463 :
The positive integer divisors of 463 that completely divides 463 are.
1, 463
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
GCD of numbers is the greatest common divisor
So, the GCD (988, 463, 380, 214) = 1.
Given numbers are 988, 463, 380, 214
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 463 are 463
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 214 are 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 988, 463, 380, 214
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 463) = 457444
GCD(988, 463) = ( 988 x 463 ) / 457444
= 988 / 463
= 988
Step2:
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
= 1 / 380
= 1
Step3:
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
= 1 / 214
= 1
So, Greatest Common Divisor of 988, 463, 380, 214 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 988, 463, 380, 214
The greatest common divisor of numbers 988, 463, 380, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 463, 380, 214 is 1.
1. What is the GCD of 988, 463, 380, 214?
GCD of given numbers 988, 463, 380, 214 is 1
2. How to calculate the greatest common divisor of 988, 463, 380, 214?
We can find the highest common divisor of 988, 463, 380, 214 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, 463, 380, 214 i.e 1.
3. How can I use the GCD of 988, 463, 380, 214Calculator?
Out the numbers 988, 463, 380, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.