Online GCD Calculator is useful to find the GCD of 723, 225, 436, 882 quickly. Get the easiest ways to solve the greatest common divisor of 723, 225, 436, 882 i.e 1 in different methods as follows.
Given Input numbers are 723, 225, 436, 882
In the factoring method, we have to find the divisors of all numbers
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
GCD of numbers is the greatest common divisor
So, the GCD (723, 225, 436, 882) = 1.
Given numbers are 723, 225, 436, 882
The list of prime factors of all numbers are
Prime factors of 723 are 3 x 241
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 436 are 2 x 2 x 109
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 723, 225, 436, 882
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(723, 225) = 54225
GCD(723, 225) = ( 723 x 225 ) / 54225
= 723 / 225
= 723
Step2:
LCM(3, 436) = 1308
GCD(3, 436) = ( 3 x 436 ) / 1308
= 3 / 436
= 3
Step3:
LCM(1, 882) = 882
GCD(1, 882) = ( 1 x 882 ) / 882
= 1 / 882
= 1
So, Greatest Common Divisor of 723, 225, 436, 882 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 723, 225, 436, 882
The greatest common divisor of numbers 723, 225, 436, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 225, 436, 882 is 1.
1. What is the GCD of 723, 225, 436, 882?
GCD of given numbers 723, 225, 436, 882 is 1
2. How to calculate the greatest common divisor of 723, 225, 436, 882?
We can find the highest common divisor of 723, 225, 436, 882 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 723, 225, 436, 882 i.e 1.
3. How can I use the GCD of 723, 225, 436, 882Calculator?
Out the numbers 723, 225, 436, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.