Online GCD Calculator is useful to find the GCD of 423, 699, 522, 225 quickly. Get the easiest ways to solve the greatest common divisor of 423, 699, 522, 225 i.e 3 in different methods as follows.
Given Input numbers are 423, 699, 522, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
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 (423, 699, 522, 225) = 3.
Given numbers are 423, 699, 522, 225
The list of prime factors of all numbers are
Prime factors of 423 are 3 x 3 x 47
Prime factors of 699 are 3 x 233
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 423, 699, 522, 225 is 3.
Given numbers are 423, 699, 522, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(423, 699) = 98559
GCD(423, 699) = ( 423 x 699 ) / 98559
= 423 / 699
= 423
Step2:
LCM(3, 522) = 522
GCD(3, 522) = ( 3 x 522 ) / 522
= 3 / 522
= 3
Step3:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
So, Greatest Common Divisor of 423, 699, 522, 225 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 423, 699, 522, 225
The greatest common divisor of numbers 423, 699, 522, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 423, 699, 522, 225 is 3.
1. What is the GCD of 423, 699, 522, 225?
GCD of given numbers 423, 699, 522, 225 is 3
2. How to calculate the greatest common divisor of 423, 699, 522, 225?
We can find the highest common divisor of 423, 699, 522, 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 423, 699, 522, 225 i.e 3.
3. How can I use the GCD of 423, 699, 522, 225Calculator?
Out the numbers 423, 699, 522, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.