Online GCD Calculator is useful to find the GCD of 153, 342, 636, 144 quickly. Get the easiest ways to solve the greatest common divisor of 153, 342, 636, 144 i.e 3 in different methods as follows.
Given Input numbers are 153, 342, 636, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
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 (153, 342, 636, 144) = 3.
Given numbers are 153, 342, 636, 144
The list of prime factors of all numbers are
Prime factors of 153 are 3 x 3 x 17
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 153, 342, 636, 144 is 3.
Given numbers are 153, 342, 636, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(153, 342) = 5814
GCD(153, 342) = ( 153 x 342 ) / 5814
= 153 / 342
= 153
Step2:
LCM(9, 636) = 1908
GCD(9, 636) = ( 9 x 636 ) / 1908
= 9 / 636
= 9
Step3:
LCM(3, 144) = 144
GCD(3, 144) = ( 3 x 144 ) / 144
= 3 / 144
= 3
So, Greatest Common Divisor of 153, 342, 636, 144 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 153, 342, 636, 144
The greatest common divisor of numbers 153, 342, 636, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 153, 342, 636, 144 is 3.
1. What is the GCD of 153, 342, 636, 144?
GCD of given numbers 153, 342, 636, 144 is 3
2. How to calculate the greatest common divisor of 153, 342, 636, 144?
We can find the highest common divisor of 153, 342, 636, 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 153, 342, 636, 144 i.e 3.
3. How can I use the GCD of 153, 342, 636, 144Calculator?
Out the numbers 153, 342, 636, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.