Online GCD Calculator is useful to find the GCD of 525, 456, 189 quickly. Get the easiest ways to solve the greatest common divisor of 525, 456, 189 i.e 3 in different methods as follows.
Given Input numbers are 525, 456, 189
In the factoring method, we have to find the divisors of all numbers
Divisors of 525 :
The positive integer divisors of 525 that completely divides 525 are.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
GCD of numbers is the greatest common divisor
So, the GCD (525, 456, 189) = 3.
Given numbers are 525, 456, 189
The list of prime factors of all numbers are
Prime factors of 525 are 3 x 5 x 5 x 7
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 189 are 3 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 525, 456, 189 is 3.
Given numbers are 525, 456, 189
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(525, 456) = 79800
GCD(525, 456) = ( 525 x 456 ) / 79800
= 525 / 456
= 525
Step2:
LCM(3, 189) = 189
GCD(3, 189) = ( 3 x 189 ) / 189
= 3 / 189
= 3
So, Greatest Common Divisor of 525, 456, 189 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 525, 456, 189
The greatest common divisor of numbers 525, 456, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 456, 189 is 3.
1. What is the GCD of 525, 456, 189?
GCD of given numbers 525, 456, 189 is 3
2. How to calculate the greatest common divisor of 525, 456, 189?
We can find the highest common divisor of 525, 456, 189 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 525, 456, 189 i.e 3.
3. How can I use the GCD of 525, 456, 189Calculator?
Out the numbers 525, 456, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.