Online GCD Calculator is useful to find the GCD of 501, 850, 561, 144 quickly. Get the easiest ways to solve the greatest common divisor of 501, 850, 561, 144 i.e 1 in different methods as follows.
Given Input numbers are 501, 850, 561, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 501 :
The positive integer divisors of 501 that completely divides 501 are.
1, 3, 167, 501
Divisors of 850 :
The positive integer divisors of 850 that completely divides 850 are.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
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 (501, 850, 561, 144) = 1.
Given numbers are 501, 850, 561, 144
The list of prime factors of all numbers are
Prime factors of 501 are 3 x 167
Prime factors of 850 are 2 x 5 x 5 x 17
Prime factors of 561 are 3 x 11 x 17
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 501, 850, 561, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(501, 850) = 425850
GCD(501, 850) = ( 501 x 850 ) / 425850
= 501 / 850
= 501
Step2:
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
= 1 / 561
= 1
Step3:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
So, Greatest Common Divisor of 501, 850, 561, 144 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 501, 850, 561, 144
The greatest common divisor of numbers 501, 850, 561, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 850, 561, 144 is 1.
1. What is the GCD of 501, 850, 561, 144?
GCD of given numbers 501, 850, 561, 144 is 1
2. How to calculate the greatest common divisor of 501, 850, 561, 144?
We can find the highest common divisor of 501, 850, 561, 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 501, 850, 561, 144 i.e 1.
3. How can I use the GCD of 501, 850, 561, 144Calculator?
Out the numbers 501, 850, 561, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.