Online GCD Calculator is useful to find the GCD of 144, 462, 452, 124 quickly. Get the easiest ways to solve the greatest common divisor of 144, 462, 452, 124 i.e 2 in different methods as follows.
Given Input numbers are 144, 462, 452, 124
In the factoring method, we have to find the divisors of all numbers
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 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
GCD of numbers is the greatest common divisor
So, the GCD (144, 462, 452, 124) = 2.
Given numbers are 144, 462, 452, 124
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 452 are 2 x 2 x 113
Prime factors of 124 are 2 x 2 x 31
The highest common occurrence is 21
Therefore, GCD of 144, 462, 452, 124 is 2.
Given numbers are 144, 462, 452, 124
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 462) = 11088
GCD(144, 462) = ( 144 x 462 ) / 11088
= 144 / 462
= 144
Step2:
LCM(6, 452) = 1356
GCD(6, 452) = ( 6 x 452 ) / 1356
= 6 / 452
= 6
Step3:
LCM(2, 124) = 124
GCD(2, 124) = ( 2 x 124 ) / 124
= 2 / 124
= 2
So, Greatest Common Divisor of 144, 462, 452, 124 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 462, 452, 124
The greatest common divisor of numbers 144, 462, 452, 124 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 462, 452, 124 is 2.
1. What is the GCD of 144, 462, 452, 124?
GCD of given numbers 144, 462, 452, 124 is 2
2. How to calculate the greatest common divisor of 144, 462, 452, 124?
We can find the highest common divisor of 144, 462, 452, 124 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 144, 462, 452, 124 i.e 2.
3. How can I use the GCD of 144, 462, 452, 124Calculator?
Out the numbers 144, 462, 452, 124 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.