Online GCD Calculator is useful to find the GCD of 432, 420, 890, 401 quickly. Get the easiest ways to solve the greatest common divisor of 432, 420, 890, 401 i.e 1 in different methods as follows.
Given Input numbers are 432, 420, 890, 401
In the factoring method, we have to find the divisors of all numbers
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 401 :
The positive integer divisors of 401 that completely divides 401 are.
1, 401
GCD of numbers is the greatest common divisor
So, the GCD (432, 420, 890, 401) = 1.
Given numbers are 432, 420, 890, 401
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 890 are 2 x 5 x 89
Prime factors of 401 are 401
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 432, 420, 890, 401
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 420) = 15120
GCD(432, 420) = ( 432 x 420 ) / 15120
= 432 / 420
= 432
Step2:
LCM(12, 890) = 5340
GCD(12, 890) = ( 12 x 890 ) / 5340
= 12 / 890
= 12
Step3:
LCM(2, 401) = 802
GCD(2, 401) = ( 2 x 401 ) / 802
= 2 / 401
= 2
So, Greatest Common Divisor of 432, 420, 890, 401 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 420, 890, 401
The greatest common divisor of numbers 432, 420, 890, 401 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 420, 890, 401 is 1.
1. What is the GCD of 432, 420, 890, 401?
GCD of given numbers 432, 420, 890, 401 is 1
2. How to calculate the greatest common divisor of 432, 420, 890, 401?
We can find the highest common divisor of 432, 420, 890, 401 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 432, 420, 890, 401 i.e 1.
3. How can I use the GCD of 432, 420, 890, 401Calculator?
Out the numbers 432, 420, 890, 401 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.