Online GCD Calculator is useful to find the GCD of 616, 966, 738, 225 quickly. Get the easiest ways to solve the greatest common divisor of 616, 966, 738, 225 i.e 1 in different methods as follows.
Given Input numbers are 616, 966, 738, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
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 (616, 966, 738, 225) = 1.
Given numbers are 616, 966, 738, 225
The list of prime factors of all numbers are
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 225 are 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 616, 966, 738, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(616, 966) = 42504
GCD(616, 966) = ( 616 x 966 ) / 42504
= 616 / 966
= 616
Step2:
LCM(14, 738) = 5166
GCD(14, 738) = ( 14 x 738 ) / 5166
= 14 / 738
= 14
Step3:
LCM(2, 225) = 450
GCD(2, 225) = ( 2 x 225 ) / 450
= 2 / 225
= 2
So, Greatest Common Divisor of 616, 966, 738, 225 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 616, 966, 738, 225
The greatest common divisor of numbers 616, 966, 738, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 966, 738, 225 is 1.
1. What is the GCD of 616, 966, 738, 225?
GCD of given numbers 616, 966, 738, 225 is 1
2. How to calculate the greatest common divisor of 616, 966, 738, 225?
We can find the highest common divisor of 616, 966, 738, 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 616, 966, 738, 225 i.e 1.
3. How can I use the GCD of 616, 966, 738, 225Calculator?
Out the numbers 616, 966, 738, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.