Online GCD Calculator is useful to find the GCD of 189, 972, 531 quickly. Get the easiest ways to solve the greatest common divisor of 189, 972, 531 i.e 9 in different methods as follows.
Given Input numbers are 189, 972, 531
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 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 531 :
The positive integer divisors of 531 that completely divides 531 are.
1, 3, 9, 59, 177, 531
GCD of numbers is the greatest common divisor
So, the GCD (189, 972, 531) = 9.
Given numbers are 189, 972, 531
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 531 are 3 x 3 x 59
The highest common occurrence is 32
Therefore, GCD of 189, 972, 531 is 9.
Given numbers are 189, 972, 531
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 972) = 6804
GCD(189, 972) = ( 189 x 972 ) / 6804
= 189 / 972
= 189
Step2:
LCM(27, 531) = 1593
GCD(27, 531) = ( 27 x 531 ) / 1593
= 27 / 531
= 27
So, Greatest Common Divisor of 189, 972, 531 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 972, 531
The greatest common divisor of numbers 189, 972, 531 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 972, 531 is 9.
1. What is the GCD of 189, 972, 531?
GCD of given numbers 189, 972, 531 is 9
2. How to calculate the greatest common divisor of 189, 972, 531?
We can find the highest common divisor of 189, 972, 531 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, 972, 531 i.e 9.
3. How can I use the GCD of 189, 972, 531Calculator?
Out the numbers 189, 972, 531 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.