Online GCD Calculator is useful to find the GCD of 698, 660, 723, 171 quickly. Get the easiest ways to solve the greatest common divisor of 698, 660, 723, 171 i.e 1 in different methods as follows.
Given Input numbers are 698, 660, 723, 171
In the factoring method, we have to find the divisors of all numbers
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
GCD of numbers is the greatest common divisor
So, the GCD (698, 660, 723, 171) = 1.
Given numbers are 698, 660, 723, 171
The list of prime factors of all numbers are
Prime factors of 698 are 2 x 349
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 723 are 3 x 241
Prime factors of 171 are 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 698, 660, 723, 171
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(698, 660) = 230340
GCD(698, 660) = ( 698 x 660 ) / 230340
= 698 / 660
= 698
Step2:
LCM(2, 723) = 1446
GCD(2, 723) = ( 2 x 723 ) / 1446
= 2 / 723
= 2
Step3:
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
= 1 / 171
= 1
So, Greatest Common Divisor of 698, 660, 723, 171 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 698, 660, 723, 171
The greatest common divisor of numbers 698, 660, 723, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 660, 723, 171 is 1.
1. What is the GCD of 698, 660, 723, 171?
GCD of given numbers 698, 660, 723, 171 is 1
2. How to calculate the greatest common divisor of 698, 660, 723, 171?
We can find the highest common divisor of 698, 660, 723, 171 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 698, 660, 723, 171 i.e 1.
3. How can I use the GCD of 698, 660, 723, 171Calculator?
Out the numbers 698, 660, 723, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.