Online GCD Calculator is useful to find the GCD of 721, 189, 228, 698 quickly. Get the easiest ways to solve the greatest common divisor of 721, 189, 228, 698 i.e 1 in different methods as follows.
Given Input numbers are 721, 189, 228, 698
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 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
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 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
GCD of numbers is the greatest common divisor
So, the GCD (721, 189, 228, 698) = 1.
Given numbers are 721, 189, 228, 698
The list of prime factors of all numbers are
Prime factors of 721 are 7 x 103
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 698 are 2 x 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 721, 189, 228, 698
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(721, 189) = 19467
GCD(721, 189) = ( 721 x 189 ) / 19467
= 721 / 189
= 721
Step2:
LCM(7, 228) = 1596
GCD(7, 228) = ( 7 x 228 ) / 1596
= 7 / 228
= 7
Step3:
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
= 1 / 698
= 1
So, Greatest Common Divisor of 721, 189, 228, 698 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 721, 189, 228, 698
The greatest common divisor of numbers 721, 189, 228, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 189, 228, 698 is 1.
1. What is the GCD of 721, 189, 228, 698?
GCD of given numbers 721, 189, 228, 698 is 1
2. How to calculate the greatest common divisor of 721, 189, 228, 698?
We can find the highest common divisor of 721, 189, 228, 698 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, 189, 228, 698 i.e 1.
3. How can I use the GCD of 721, 189, 228, 698Calculator?
Out the numbers 721, 189, 228, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.