Online GCD Calculator is useful to find the GCD of 825, 612, 313, 218 quickly. Get the easiest ways to solve the greatest common divisor of 825, 612, 313, 218 i.e 1 in different methods as follows.
Given Input numbers are 825, 612, 313, 218
In the factoring method, we have to find the divisors of all numbers
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
GCD of numbers is the greatest common divisor
So, the GCD (825, 612, 313, 218) = 1.
Given numbers are 825, 612, 313, 218
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 313 are 313
Prime factors of 218 are 2 x 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 825, 612, 313, 218
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 612) = 168300
GCD(825, 612) = ( 825 x 612 ) / 168300
= 825 / 612
= 825
Step2:
LCM(3, 313) = 939
GCD(3, 313) = ( 3 x 313 ) / 939
= 3 / 313
= 3
Step3:
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
= 1 / 218
= 1
So, Greatest Common Divisor of 825, 612, 313, 218 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 612, 313, 218
The greatest common divisor of numbers 825, 612, 313, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 612, 313, 218 is 1.
1. What is the GCD of 825, 612, 313, 218?
GCD of given numbers 825, 612, 313, 218 is 1
2. How to calculate the greatest common divisor of 825, 612, 313, 218?
We can find the highest common divisor of 825, 612, 313, 218 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 825, 612, 313, 218 i.e 1.
3. How can I use the GCD of 825, 612, 313, 218Calculator?
Out the numbers 825, 612, 313, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.