Online GCD Calculator is useful to find the GCD of 117, 299, 850, 989 quickly. Get the easiest ways to solve the greatest common divisor of 117, 299, 850, 989 i.e 1 in different methods as follows.
Given Input numbers are 117, 299, 850, 989
In the factoring method, we have to find the divisors of all numbers
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
Divisors of 850 :
The positive integer divisors of 850 that completely divides 850 are.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
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 (117, 299, 850, 989) = 1.
Given numbers are 117, 299, 850, 989
The list of prime factors of all numbers are
Prime factors of 117 are 3 x 3 x 13
Prime factors of 299 are 13 x 23
Prime factors of 850 are 2 x 5 x 5 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 117, 299, 850, 989
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(117, 299) = 2691
GCD(117, 299) = ( 117 x 299 ) / 2691
= 117 / 299
= 117
Step2:
LCM(13, 850) = 11050
GCD(13, 850) = ( 13 x 850 ) / 11050
= 13 / 850
= 13
Step3:
LCM(1, 989) = 989
GCD(1, 989) = ( 1 x 989 ) / 989
= 1 / 989
= 1
So, Greatest Common Divisor of 117, 299, 850, 989 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 117, 299, 850, 989
The greatest common divisor of numbers 117, 299, 850, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 299, 850, 989 is 1.
1. What is the GCD of 117, 299, 850, 989?
GCD of given numbers 117, 299, 850, 989 is 1
2. How to calculate the greatest common divisor of 117, 299, 850, 989?
We can find the highest common divisor of 117, 299, 850, 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 117, 299, 850, 989 i.e 1.
3. How can I use the GCD of 117, 299, 850, 989Calculator?
Out the numbers 117, 299, 850, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.