Online GCD Calculator is useful to find the GCD of 189, 252, 506, 712 quickly. Get the easiest ways to solve the greatest common divisor of 189, 252, 506, 712 i.e 1 in different methods as follows.
Given Input numbers are 189, 252, 506, 712
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 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
GCD of numbers is the greatest common divisor
So, the GCD (189, 252, 506, 712) = 1.
Given numbers are 189, 252, 506, 712
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 506 are 2 x 11 x 23
Prime factors of 712 are 2 x 2 x 2 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 189, 252, 506, 712
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 252) = 756
GCD(189, 252) = ( 189 x 252 ) / 756
= 189 / 252
= 189
Step2:
LCM(63, 506) = 31878
GCD(63, 506) = ( 63 x 506 ) / 31878
= 63 / 506
= 63
Step3:
LCM(1, 712) = 712
GCD(1, 712) = ( 1 x 712 ) / 712
= 1 / 712
= 1
So, Greatest Common Divisor of 189, 252, 506, 712 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 252, 506, 712
The greatest common divisor of numbers 189, 252, 506, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 252, 506, 712 is 1.
1. What is the GCD of 189, 252, 506, 712?
GCD of given numbers 189, 252, 506, 712 is 1
2. How to calculate the greatest common divisor of 189, 252, 506, 712?
We can find the highest common divisor of 189, 252, 506, 712 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, 252, 506, 712 i.e 1.
3. How can I use the GCD of 189, 252, 506, 712Calculator?
Out the numbers 189, 252, 506, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.