Online GCD Calculator is useful to find the GCD of 721, 471, 657, 198 quickly. Get the easiest ways to solve the greatest common divisor of 721, 471, 657, 198 i.e 1 in different methods as follows.
Given Input numbers are 721, 471, 657, 198
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 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (721, 471, 657, 198) = 1.
Given numbers are 721, 471, 657, 198
The list of prime factors of all numbers are
Prime factors of 721 are 7 x 103
Prime factors of 471 are 3 x 157
Prime factors of 657 are 3 x 3 x 73
Prime factors of 198 are 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 721, 471, 657, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(721, 471) = 339591
GCD(721, 471) = ( 721 x 471 ) / 339591
= 721 / 471
= 721
Step2:
LCM(1, 657) = 657
GCD(1, 657) = ( 1 x 657 ) / 657
= 1 / 657
= 1
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 721, 471, 657, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 721, 471, 657, 198
The greatest common divisor of numbers 721, 471, 657, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 471, 657, 198 is 1.
1. What is the GCD of 721, 471, 657, 198?
GCD of given numbers 721, 471, 657, 198 is 1
2. How to calculate the greatest common divisor of 721, 471, 657, 198?
We can find the highest common divisor of 721, 471, 657, 198 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, 471, 657, 198 i.e 1.
3. How can I use the GCD of 721, 471, 657, 198Calculator?
Out the numbers 721, 471, 657, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.