Online GCD Calculator is useful to find the GCD of 348, 108, 144, 117 quickly. Get the easiest ways to solve the greatest common divisor of 348, 108, 144, 117 i.e 3 in different methods as follows.
Given Input numbers are 348, 108, 144, 117
In the factoring method, we have to find the divisors of all numbers
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
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 (348, 108, 144, 117) = 3.
Given numbers are 348, 108, 144, 117
The list of prime factors of all numbers are
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 117 are 3 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 348, 108, 144, 117 is 3.
Given numbers are 348, 108, 144, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(348, 108) = 3132
GCD(348, 108) = ( 348 x 108 ) / 3132
= 348 / 108
= 348
Step2:
LCM(12, 144) = 144
GCD(12, 144) = ( 12 x 144 ) / 144
= 12 / 144
= 12
Step3:
LCM(12, 117) = 468
GCD(12, 117) = ( 12 x 117 ) / 468
= 12 / 117
= 12
So, Greatest Common Divisor of 348, 108, 144, 117 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 348, 108, 144, 117
The greatest common divisor of numbers 348, 108, 144, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 108, 144, 117 is 3.
1. What is the GCD of 348, 108, 144, 117?
GCD of given numbers 348, 108, 144, 117 is 3
2. How to calculate the greatest common divisor of 348, 108, 144, 117?
We can find the highest common divisor of 348, 108, 144, 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 348, 108, 144, 117 i.e 3.
3. How can I use the GCD of 348, 108, 144, 117Calculator?
Out the numbers 348, 108, 144, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.