Online GCD Calculator is useful to find the GCD of 400, 309, 786, 225 quickly. Get the easiest ways to solve the greatest common divisor of 400, 309, 786, 225 i.e 1 in different methods as follows.
Given Input numbers are 400, 309, 786, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
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 (400, 309, 786, 225) = 1.
Given numbers are 400, 309, 786, 225
The list of prime factors of all numbers are
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 309 are 3 x 103
Prime factors of 786 are 2 x 3 x 131
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 400, 309, 786, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 309) = 123600
GCD(400, 309) = ( 400 x 309 ) / 123600
= 400 / 309
= 400
Step2:
LCM(1, 786) = 786
GCD(1, 786) = ( 1 x 786 ) / 786
= 1 / 786
= 1
Step3:
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
= 1 / 225
= 1
So, Greatest Common Divisor of 400, 309, 786, 225 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 309, 786, 225
The greatest common divisor of numbers 400, 309, 786, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 309, 786, 225 is 1.
1. What is the GCD of 400, 309, 786, 225?
GCD of given numbers 400, 309, 786, 225 is 1
2. How to calculate the greatest common divisor of 400, 309, 786, 225?
We can find the highest common divisor of 400, 309, 786, 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 400, 309, 786, 225 i.e 1.
3. How can I use the GCD of 400, 309, 786, 225Calculator?
Out the numbers 400, 309, 786, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.