Online GCD Calculator is useful to find the GCD of 508, 646, 457, 144 quickly. Get the easiest ways to solve the greatest common divisor of 508, 646, 457, 144 i.e 1 in different methods as follows.
Given Input numbers are 508, 646, 457, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 457 :
The positive integer divisors of 457 that completely divides 457 are.
1, 457
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 (508, 646, 457, 144) = 1.
Given numbers are 508, 646, 457, 144
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 646 are 2 x 17 x 19
Prime factors of 457 are 457
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 508, 646, 457, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 646) = 164084
GCD(508, 646) = ( 508 x 646 ) / 164084
= 508 / 646
= 508
Step2:
LCM(2, 457) = 914
GCD(2, 457) = ( 2 x 457 ) / 914
= 2 / 457
= 2
Step3:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
So, Greatest Common Divisor of 508, 646, 457, 144 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 646, 457, 144
The greatest common divisor of numbers 508, 646, 457, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 646, 457, 144 is 1.
1. What is the GCD of 508, 646, 457, 144?
GCD of given numbers 508, 646, 457, 144 is 1
2. How to calculate the greatest common divisor of 508, 646, 457, 144?
We can find the highest common divisor of 508, 646, 457, 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 508, 646, 457, 144 i.e 1.
3. How can I use the GCD of 508, 646, 457, 144Calculator?
Out the numbers 508, 646, 457, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.