Online GCD Calculator is useful to find the GCD of 189, 552, 414, 528 quickly. Get the easiest ways to solve the greatest common divisor of 189, 552, 414, 528 i.e 3 in different methods as follows.
Given Input numbers are 189, 552, 414, 528
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 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
GCD of numbers is the greatest common divisor
So, the GCD (189, 552, 414, 528) = 3.
Given numbers are 189, 552, 414, 528
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 189, 552, 414, 528 is 3.
Given numbers are 189, 552, 414, 528
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 552) = 34776
GCD(189, 552) = ( 189 x 552 ) / 34776
= 189 / 552
= 189
Step2:
LCM(3, 414) = 414
GCD(3, 414) = ( 3 x 414 ) / 414
= 3 / 414
= 3
Step3:
LCM(3, 528) = 528
GCD(3, 528) = ( 3 x 528 ) / 528
= 3 / 528
= 3
So, Greatest Common Divisor of 189, 552, 414, 528 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 552, 414, 528
The greatest common divisor of numbers 189, 552, 414, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 552, 414, 528 is 3.
1. What is the GCD of 189, 552, 414, 528?
GCD of given numbers 189, 552, 414, 528 is 3
2. How to calculate the greatest common divisor of 189, 552, 414, 528?
We can find the highest common divisor of 189, 552, 414, 528 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, 552, 414, 528 i.e 3.
3. How can I use the GCD of 189, 552, 414, 528Calculator?
Out the numbers 189, 552, 414, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.