Online GCD Calculator is useful to find the GCD of 189, 472, 921, 656 quickly. Get the easiest ways to solve the greatest common divisor of 189, 472, 921, 656 i.e 1 in different methods as follows.
Given Input numbers are 189, 472, 921, 656
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 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
GCD of numbers is the greatest common divisor
So, the GCD (189, 472, 921, 656) = 1.
Given numbers are 189, 472, 921, 656
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 921 are 3 x 307
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 189, 472, 921, 656
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 472) = 89208
GCD(189, 472) = ( 189 x 472 ) / 89208
= 189 / 472
= 189
Step2:
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
= 1 / 921
= 1
Step3:
LCM(1, 656) = 656
GCD(1, 656) = ( 1 x 656 ) / 656
= 1 / 656
= 1
So, Greatest Common Divisor of 189, 472, 921, 656 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 472, 921, 656
The greatest common divisor of numbers 189, 472, 921, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 472, 921, 656 is 1.
1. What is the GCD of 189, 472, 921, 656?
GCD of given numbers 189, 472, 921, 656 is 1
2. How to calculate the greatest common divisor of 189, 472, 921, 656?
We can find the highest common divisor of 189, 472, 921, 656 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, 472, 921, 656 i.e 1.
3. How can I use the GCD of 189, 472, 921, 656Calculator?
Out the numbers 189, 472, 921, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.