Online GCD Calculator is useful to find the GCD of 989, 135, 300 quickly. Get the easiest ways to solve the greatest common divisor of 989, 135, 300 i.e 1 in different methods as follows.
Given Input numbers are 989, 135, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
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
GCD of numbers is the greatest common divisor
So, the GCD (989, 135, 300) = 1.
Given numbers are 989, 135, 300
The list of prime factors of all numbers are
Prime factors of 989 are 23 x 43
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 989, 135, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(989, 135) = 133515
GCD(989, 135) = ( 989 x 135 ) / 133515
= 989 / 135
= 989
Step2:
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
= 1 / 300
= 1
So, Greatest Common Divisor of 989, 135, 300 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 989, 135, 300
The greatest common divisor of numbers 989, 135, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 135, 300 is 1.
1. What is the GCD of 989, 135, 300?
GCD of given numbers 989, 135, 300 is 1
2. How to calculate the greatest common divisor of 989, 135, 300?
We can find the highest common divisor of 989, 135, 300 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 989, 135, 300 i.e 1.
3. How can I use the GCD of 989, 135, 300Calculator?
Out the numbers 989, 135, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.