Online GCD Calculator is useful to find the GCD of 189, 658, 216, 697 quickly. Get the easiest ways to solve the greatest common divisor of 189, 658, 216, 697 i.e 1 in different methods as follows.
Given Input numbers are 189, 658, 216, 697
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
GCD of numbers is the greatest common divisor
So, the GCD (189, 658, 216, 697) = 1.
Given numbers are 189, 658, 216, 697
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 658 are 2 x 7 x 47
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 697 are 17 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 189, 658, 216, 697
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 658) = 17766
GCD(189, 658) = ( 189 x 658 ) / 17766
= 189 / 658
= 189
Step2:
LCM(7, 216) = 1512
GCD(7, 216) = ( 7 x 216 ) / 1512
= 7 / 216
= 7
Step3:
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
= 1 / 697
= 1
So, Greatest Common Divisor of 189, 658, 216, 697 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 658, 216, 697
The greatest common divisor of numbers 189, 658, 216, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 658, 216, 697 is 1.
1. What is the GCD of 189, 658, 216, 697?
GCD of given numbers 189, 658, 216, 697 is 1
2. How to calculate the greatest common divisor of 189, 658, 216, 697?
We can find the highest common divisor of 189, 658, 216, 697 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 189, 658, 216, 697 i.e 1.
3. How can I use the GCD of 189, 658, 216, 697Calculator?
Out the numbers 189, 658, 216, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.