Online GCD Calculator is useful to find the GCD of 721, 308, 228, 123 quickly. Get the easiest ways to solve the greatest common divisor of 721, 308, 228, 123 i.e 1 in different methods as follows.
Given Input numbers are 721, 308, 228, 123
In the factoring method, we have to find the divisors of all numbers
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
GCD of numbers is the greatest common divisor
So, the GCD (721, 308, 228, 123) = 1.
Given numbers are 721, 308, 228, 123
The list of prime factors of all numbers are
Prime factors of 721 are 7 x 103
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 123 are 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 721, 308, 228, 123
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(721, 308) = 31724
GCD(721, 308) = ( 721 x 308 ) / 31724
= 721 / 308
= 721
Step2:
LCM(7, 228) = 1596
GCD(7, 228) = ( 7 x 228 ) / 1596
= 7 / 228
= 7
Step3:
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
= 1 / 123
= 1
So, Greatest Common Divisor of 721, 308, 228, 123 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 721, 308, 228, 123
The greatest common divisor of numbers 721, 308, 228, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 308, 228, 123 is 1.
1. What is the GCD of 721, 308, 228, 123?
GCD of given numbers 721, 308, 228, 123 is 1
2. How to calculate the greatest common divisor of 721, 308, 228, 123?
We can find the highest common divisor of 721, 308, 228, 123 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 721, 308, 228, 123 i.e 1.
3. How can I use the GCD of 721, 308, 228, 123Calculator?
Out the numbers 721, 308, 228, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.