Online GCD Calculator is useful to find the GCD of 412, 448, 789, 400 quickly. Get the easiest ways to solve the greatest common divisor of 412, 448, 789, 400 i.e 1 in different methods as follows.
Given Input numbers are 412, 448, 789, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
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
GCD of numbers is the greatest common divisor
So, the GCD (412, 448, 789, 400) = 1.
Given numbers are 412, 448, 789, 400
The list of prime factors of all numbers are
Prime factors of 412 are 2 x 2 x 103
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 789 are 3 x 263
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 412, 448, 789, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(412, 448) = 46144
GCD(412, 448) = ( 412 x 448 ) / 46144
= 412 / 448
= 412
Step2:
LCM(4, 789) = 3156
GCD(4, 789) = ( 4 x 789 ) / 3156
= 4 / 789
= 4
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 412, 448, 789, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 412, 448, 789, 400
The greatest common divisor of numbers 412, 448, 789, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 448, 789, 400 is 1.
1. What is the GCD of 412, 448, 789, 400?
GCD of given numbers 412, 448, 789, 400 is 1
2. How to calculate the greatest common divisor of 412, 448, 789, 400?
We can find the highest common divisor of 412, 448, 789, 400 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 412, 448, 789, 400 i.e 1.
3. How can I use the GCD of 412, 448, 789, 400Calculator?
Out the numbers 412, 448, 789, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.