Online GCD Calculator is useful to find the GCD of 588, 672, 489, 225 quickly. Get the easiest ways to solve the greatest common divisor of 588, 672, 489, 225 i.e 3 in different methods as follows.
Given Input numbers are 588, 672, 489, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (588, 672, 489, 225) = 3.
Given numbers are 588, 672, 489, 225
The list of prime factors of all numbers are
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 489 are 3 x 163
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 588, 672, 489, 225 is 3.
Given numbers are 588, 672, 489, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(588, 672) = 4704
GCD(588, 672) = ( 588 x 672 ) / 4704
= 588 / 672
= 588
Step2:
LCM(84, 489) = 13692
GCD(84, 489) = ( 84 x 489 ) / 13692
= 84 / 489
= 84
Step3:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
So, Greatest Common Divisor of 588, 672, 489, 225 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 588, 672, 489, 225
The greatest common divisor of numbers 588, 672, 489, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 672, 489, 225 is 3.
1. What is the GCD of 588, 672, 489, 225?
GCD of given numbers 588, 672, 489, 225 is 3
2. How to calculate the greatest common divisor of 588, 672, 489, 225?
We can find the highest common divisor of 588, 672, 489, 225 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 588, 672, 489, 225 i.e 3.
3. How can I use the GCD of 588, 672, 489, 225Calculator?
Out the numbers 588, 672, 489, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.