Online GCD Calculator is useful to find the GCD of 508, 108, 230, 722 quickly. Get the easiest ways to solve the greatest common divisor of 508, 108, 230, 722 i.e 2 in different methods as follows.
Given Input numbers are 508, 108, 230, 722
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 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 230 :
The positive integer divisors of 230 that completely divides 230 are.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
GCD of numbers is the greatest common divisor
So, the GCD (508, 108, 230, 722) = 2.
Given numbers are 508, 108, 230, 722
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 230 are 2 x 5 x 23
Prime factors of 722 are 2 x 19 x 19
The highest common occurrence is 21
Therefore, GCD of 508, 108, 230, 722 is 2.
Given numbers are 508, 108, 230, 722
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 108) = 13716
GCD(508, 108) = ( 508 x 108 ) / 13716
= 508 / 108
= 508
Step2:
LCM(4, 230) = 460
GCD(4, 230) = ( 4 x 230 ) / 460
= 4 / 230
= 4
Step3:
LCM(2, 722) = 722
GCD(2, 722) = ( 2 x 722 ) / 722
= 2 / 722
= 2
So, Greatest Common Divisor of 508, 108, 230, 722 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 108, 230, 722
The greatest common divisor of numbers 508, 108, 230, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 108, 230, 722 is 2.
1. What is the GCD of 508, 108, 230, 722?
GCD of given numbers 508, 108, 230, 722 is 2
2. How to calculate the greatest common divisor of 508, 108, 230, 722?
We can find the highest common divisor of 508, 108, 230, 722 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, 108, 230, 722 i.e 2.
3. How can I use the GCD of 508, 108, 230, 722Calculator?
Out the numbers 508, 108, 230, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.