Online GCD Calculator is useful to find the GCD of 300, 989, 676, 401 quickly. Get the easiest ways to solve the greatest common divisor of 300, 989, 676, 401 i.e 1 in different methods as follows.
Given Input numbers are 300, 989, 676, 401
In the factoring method, we have to find the divisors of all numbers
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 401 :
The positive integer divisors of 401 that completely divides 401 are.
1, 401
GCD of numbers is the greatest common divisor
So, the GCD (300, 989, 676, 401) = 1.
Given numbers are 300, 989, 676, 401
The list of prime factors of all numbers are
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 989 are 23 x 43
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 401 are 401
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 300, 989, 676, 401
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 989) = 296700
GCD(300, 989) = ( 300 x 989 ) / 296700
= 300 / 989
= 300
Step2:
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
= 1 / 676
= 1
Step3:
LCM(1, 401) = 401
GCD(1, 401) = ( 1 x 401 ) / 401
= 1 / 401
= 1
So, Greatest Common Divisor of 300, 989, 676, 401 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 989, 676, 401
The greatest common divisor of numbers 300, 989, 676, 401 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 989, 676, 401 is 1.
1. What is the GCD of 300, 989, 676, 401?
GCD of given numbers 300, 989, 676, 401 is 1
2. How to calculate the greatest common divisor of 300, 989, 676, 401?
We can find the highest common divisor of 300, 989, 676, 401 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 300, 989, 676, 401 i.e 1.
3. How can I use the GCD of 300, 989, 676, 401Calculator?
Out the numbers 300, 989, 676, 401 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.