Online GCD Calculator is useful to find the GCD of 144, 960, 622, 501 quickly. Get the easiest ways to solve the greatest common divisor of 144, 960, 622, 501 i.e 1 in different methods as follows.
Given Input numbers are 144, 960, 622, 501
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 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 622 :
The positive integer divisors of 622 that completely divides 622 are.
1, 2, 311, 622
Divisors of 501 :
The positive integer divisors of 501 that completely divides 501 are.
1, 3, 167, 501
GCD of numbers is the greatest common divisor
So, the GCD (144, 960, 622, 501) = 1.
Given numbers are 144, 960, 622, 501
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 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 622 are 2 x 311
Prime factors of 501 are 3 x 167
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 144, 960, 622, 501
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 960) = 2880
GCD(144, 960) = ( 144 x 960 ) / 2880
= 144 / 960
= 144
Step2:
LCM(48, 622) = 14928
GCD(48, 622) = ( 48 x 622 ) / 14928
= 48 / 622
= 48
Step3:
LCM(2, 501) = 1002
GCD(2, 501) = ( 2 x 501 ) / 1002
= 2 / 501
= 2
So, Greatest Common Divisor of 144, 960, 622, 501 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 960, 622, 501
The greatest common divisor of numbers 144, 960, 622, 501 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 960, 622, 501 is 1.
1. What is the GCD of 144, 960, 622, 501?
GCD of given numbers 144, 960, 622, 501 is 1
2. How to calculate the greatest common divisor of 144, 960, 622, 501?
We can find the highest common divisor of 144, 960, 622, 501 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, 960, 622, 501 i.e 1.
3. How can I use the GCD of 144, 960, 622, 501Calculator?
Out the numbers 144, 960, 622, 501 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.