Online GCD Calculator is useful to find the GCD of 297, 654, 189, 689 quickly. Get the easiest ways to solve the greatest common divisor of 297, 654, 189, 689 i.e 1 in different methods as follows.
Given Input numbers are 297, 654, 189, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (297, 654, 189, 689) = 1.
Given numbers are 297, 654, 189, 689
The list of prime factors of all numbers are
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 654 are 2 x 3 x 109
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 297, 654, 189, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(297, 654) = 64746
GCD(297, 654) = ( 297 x 654 ) / 64746
= 297 / 654
= 297
Step2:
LCM(3, 189) = 189
GCD(3, 189) = ( 3 x 189 ) / 189
= 3 / 189
= 3
Step3:
LCM(3, 689) = 2067
GCD(3, 689) = ( 3 x 689 ) / 2067
= 3 / 689
= 3
So, Greatest Common Divisor of 297, 654, 189, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 297, 654, 189, 689
The greatest common divisor of numbers 297, 654, 189, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 654, 189, 689 is 1.
1. What is the GCD of 297, 654, 189, 689?
GCD of given numbers 297, 654, 189, 689 is 1
2. How to calculate the greatest common divisor of 297, 654, 189, 689?
We can find the highest common divisor of 297, 654, 189, 689 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 297, 654, 189, 689 i.e 1.
3. How can I use the GCD of 297, 654, 189, 689Calculator?
Out the numbers 297, 654, 189, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.