Online GCD Calculator is useful to find the GCD of 138, 798, 518, 144 quickly. Get the easiest ways to solve the greatest common divisor of 138, 798, 518, 144 i.e 2 in different methods as follows.
Given Input numbers are 138, 798, 518, 144
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 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
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
GCD of numbers is the greatest common divisor
So, the GCD (138, 798, 518, 144) = 2.
Given numbers are 138, 798, 518, 144
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 518 are 2 x 7 x 37
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 138, 798, 518, 144 is 2.
Given numbers are 138, 798, 518, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 798) = 18354
GCD(138, 798) = ( 138 x 798 ) / 18354
= 138 / 798
= 138
Step2:
LCM(6, 518) = 1554
GCD(6, 518) = ( 6 x 518 ) / 1554
= 6 / 518
= 6
Step3:
LCM(2, 144) = 144
GCD(2, 144) = ( 2 x 144 ) / 144
= 2 / 144
= 2
So, Greatest Common Divisor of 138, 798, 518, 144 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 798, 518, 144
The greatest common divisor of numbers 138, 798, 518, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 798, 518, 144 is 2.
1. What is the GCD of 138, 798, 518, 144?
GCD of given numbers 138, 798, 518, 144 is 2
2. How to calculate the greatest common divisor of 138, 798, 518, 144?
We can find the highest common divisor of 138, 798, 518, 144 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, 798, 518, 144 i.e 2.
3. How can I use the GCD of 138, 798, 518, 144Calculator?
Out the numbers 138, 798, 518, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.