Online GCD Calculator is useful to find the GCD of 428, 400, 559, 406 quickly. Get the easiest ways to solve the greatest common divisor of 428, 400, 559, 406 i.e 1 in different methods as follows.
Given Input numbers are 428, 400, 559, 406
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
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 559 :
The positive integer divisors of 559 that completely divides 559 are.
1, 13, 43, 559
Divisors of 406 :
The positive integer divisors of 406 that completely divides 406 are.
1, 2, 7, 14, 29, 58, 203, 406
GCD of numbers is the greatest common divisor
So, the GCD (428, 400, 559, 406) = 1.
Given numbers are 428, 400, 559, 406
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 559 are 13 x 43
Prime factors of 406 are 2 x 7 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 428, 400, 559, 406
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 400) = 42800
GCD(428, 400) = ( 428 x 400 ) / 42800
= 428 / 400
= 428
Step2:
LCM(4, 559) = 2236
GCD(4, 559) = ( 4 x 559 ) / 2236
= 4 / 559
= 4
Step3:
LCM(1, 406) = 406
GCD(1, 406) = ( 1 x 406 ) / 406
= 1 / 406
= 1
So, Greatest Common Divisor of 428, 400, 559, 406 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 400, 559, 406
The greatest common divisor of numbers 428, 400, 559, 406 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 400, 559, 406 is 1.
1. What is the GCD of 428, 400, 559, 406?
GCD of given numbers 428, 400, 559, 406 is 1
2. How to calculate the greatest common divisor of 428, 400, 559, 406?
We can find the highest common divisor of 428, 400, 559, 406 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 428, 400, 559, 406 i.e 1.
3. How can I use the GCD of 428, 400, 559, 406Calculator?
Out the numbers 428, 400, 559, 406 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.