Online GCD Calculator is useful to find the GCD of 331, 684, 899, 138 quickly. Get the easiest ways to solve the greatest common divisor of 331, 684, 899, 138 i.e 1 in different methods as follows.
Given Input numbers are 331, 684, 899, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 331 :
The positive integer divisors of 331 that completely divides 331 are.
1, 331
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 899 :
The positive integer divisors of 899 that completely divides 899 are.
1, 29, 31, 899
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (331, 684, 899, 138) = 1.
Given numbers are 331, 684, 899, 138
The list of prime factors of all numbers are
Prime factors of 331 are 331
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 899 are 29 x 31
Prime factors of 138 are 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 331, 684, 899, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(331, 684) = 226404
GCD(331, 684) = ( 331 x 684 ) / 226404
= 331 / 684
= 331
Step2:
LCM(1, 899) = 899
GCD(1, 899) = ( 1 x 899 ) / 899
= 1 / 899
= 1
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 331, 684, 899, 138 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 331, 684, 899, 138
The greatest common divisor of numbers 331, 684, 899, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 331, 684, 899, 138 is 1.
1. What is the GCD of 331, 684, 899, 138?
GCD of given numbers 331, 684, 899, 138 is 1
2. How to calculate the greatest common divisor of 331, 684, 899, 138?
We can find the highest common divisor of 331, 684, 899, 138 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 331, 684, 899, 138 i.e 1.
3. How can I use the GCD of 331, 684, 899, 138Calculator?
Out the numbers 331, 684, 899, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.