Online GCD Calculator is useful to find the GCD of 138, 318, 387, 117 quickly. Get the easiest ways to solve the greatest common divisor of 138, 318, 387, 117 i.e 3 in different methods as follows.
Given Input numbers are 138, 318, 387, 117
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
GCD of numbers is the greatest common divisor
So, the GCD (138, 318, 387, 117) = 3.
Given numbers are 138, 318, 387, 117
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 318 are 2 x 3 x 53
Prime factors of 387 are 3 x 3 x 43
Prime factors of 117 are 3 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 138, 318, 387, 117 is 3.
Given numbers are 138, 318, 387, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 318) = 7314
GCD(138, 318) = ( 138 x 318 ) / 7314
= 138 / 318
= 138
Step2:
LCM(6, 387) = 774
GCD(6, 387) = ( 6 x 387 ) / 774
= 6 / 387
= 6
Step3:
LCM(3, 117) = 117
GCD(3, 117) = ( 3 x 117 ) / 117
= 3 / 117
= 3
So, Greatest Common Divisor of 138, 318, 387, 117 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 318, 387, 117
The greatest common divisor of numbers 138, 318, 387, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 318, 387, 117 is 3.
1. What is the GCD of 138, 318, 387, 117?
GCD of given numbers 138, 318, 387, 117 is 3
2. How to calculate the greatest common divisor of 138, 318, 387, 117?
We can find the highest common divisor of 138, 318, 387, 117 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 138, 318, 387, 117 i.e 3.
3. How can I use the GCD of 138, 318, 387, 117Calculator?
Out the numbers 138, 318, 387, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.