Online GCD Calculator is useful to find the GCD of 250, 114, 119, 989 quickly. Get the easiest ways to solve the greatest common divisor of 250, 114, 119, 989 i.e 1 in different methods as follows.
Given Input numbers are 250, 114, 119, 989
In the factoring method, we have to find the divisors of all numbers
Divisors of 250 :
The positive integer divisors of 250 that completely divides 250 are.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
Divisors of 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
GCD of numbers is the greatest common divisor
So, the GCD (250, 114, 119, 989) = 1.
Given numbers are 250, 114, 119, 989
The list of prime factors of all numbers are
Prime factors of 250 are 2 x 5 x 5 x 5
Prime factors of 114 are 2 x 3 x 19
Prime factors of 119 are 7 x 17
Prime factors of 989 are 23 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 250, 114, 119, 989
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(250, 114) = 14250
GCD(250, 114) = ( 250 x 114 ) / 14250
= 250 / 114
= 250
Step2:
LCM(2, 119) = 238
GCD(2, 119) = ( 2 x 119 ) / 238
= 2 / 119
= 2
Step3:
LCM(1, 989) = 989
GCD(1, 989) = ( 1 x 989 ) / 989
= 1 / 989
= 1
So, Greatest Common Divisor of 250, 114, 119, 989 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 250, 114, 119, 989
The greatest common divisor of numbers 250, 114, 119, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 250, 114, 119, 989 is 1.
1. What is the GCD of 250, 114, 119, 989?
GCD of given numbers 250, 114, 119, 989 is 1
2. How to calculate the greatest common divisor of 250, 114, 119, 989?
We can find the highest common divisor of 250, 114, 119, 989 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 250, 114, 119, 989 i.e 1.
3. How can I use the GCD of 250, 114, 119, 989Calculator?
Out the numbers 250, 114, 119, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.