Online GCD Calculator is useful to find the GCD of 117, 988, 909, 872 quickly. Get the easiest ways to solve the greatest common divisor of 117, 988, 909, 872 i.e 1 in different methods as follows.
Given Input numbers are 117, 988, 909, 872
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 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (117, 988, 909, 872) = 1.
Given numbers are 117, 988, 909, 872
The list of prime factors of all numbers are
Prime factors of 117 are 3 x 3 x 13
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 909 are 3 x 3 x 101
Prime factors of 872 are 2 x 2 x 2 x 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 117, 988, 909, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(117, 988) = 8892
GCD(117, 988) = ( 117 x 988 ) / 8892
= 117 / 988
= 117
Step2:
LCM(13, 909) = 11817
GCD(13, 909) = ( 13 x 909 ) / 11817
= 13 / 909
= 13
Step3:
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
= 1 / 872
= 1
So, Greatest Common Divisor of 117, 988, 909, 872 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 117, 988, 909, 872
The greatest common divisor of numbers 117, 988, 909, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 988, 909, 872 is 1.
1. What is the GCD of 117, 988, 909, 872?
GCD of given numbers 117, 988, 909, 872 is 1
2. How to calculate the greatest common divisor of 117, 988, 909, 872?
We can find the highest common divisor of 117, 988, 909, 872 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, 988, 909, 872 i.e 1.
3. How can I use the GCD of 117, 988, 909, 872Calculator?
Out the numbers 117, 988, 909, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.