Online GCD Calculator is useful to find the GCD of 117, 450, 509, 998 quickly. Get the easiest ways to solve the greatest common divisor of 117, 450, 509, 998 i.e 1 in different methods as follows.
Given Input numbers are 117, 450, 509, 998
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 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (117, 450, 509, 998) = 1.
Given numbers are 117, 450, 509, 998
The list of prime factors of all numbers are
Prime factors of 117 are 3 x 3 x 13
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 509 are 509
Prime factors of 998 are 2 x 499
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 117, 450, 509, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(117, 450) = 5850
GCD(117, 450) = ( 117 x 450 ) / 5850
= 117 / 450
= 117
Step2:
LCM(9, 509) = 4581
GCD(9, 509) = ( 9 x 509 ) / 4581
= 9 / 509
= 9
Step3:
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
= 1 / 998
= 1
So, Greatest Common Divisor of 117, 450, 509, 998 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 117, 450, 509, 998
The greatest common divisor of numbers 117, 450, 509, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 450, 509, 998 is 1.
1. What is the GCD of 117, 450, 509, 998?
GCD of given numbers 117, 450, 509, 998 is 1
2. How to calculate the greatest common divisor of 117, 450, 509, 998?
We can find the highest common divisor of 117, 450, 509, 998 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, 450, 509, 998 i.e 1.
3. How can I use the GCD of 117, 450, 509, 998Calculator?
Out the numbers 117, 450, 509, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.