Online GCD Calculator is useful to find the GCD of 426, 317, 400, 442 quickly. Get the easiest ways to solve the greatest common divisor of 426, 317, 400, 442 i.e 1 in different methods as follows.
Given Input numbers are 426, 317, 400, 442
In the factoring method, we have to find the divisors of all numbers
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 317 :
The positive integer divisors of 317 that completely divides 317 are.
1, 317
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 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
GCD of numbers is the greatest common divisor
So, the GCD (426, 317, 400, 442) = 1.
Given numbers are 426, 317, 400, 442
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 317 are 317
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 442 are 2 x 13 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 426, 317, 400, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 317) = 135042
GCD(426, 317) = ( 426 x 317 ) / 135042
= 426 / 317
= 426
Step2:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
Step3:
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
= 1 / 442
= 1
So, Greatest Common Divisor of 426, 317, 400, 442 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 317, 400, 442
The greatest common divisor of numbers 426, 317, 400, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 317, 400, 442 is 1.
1. What is the GCD of 426, 317, 400, 442?
GCD of given numbers 426, 317, 400, 442 is 1
2. How to calculate the greatest common divisor of 426, 317, 400, 442?
We can find the highest common divisor of 426, 317, 400, 442 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 426, 317, 400, 442 i.e 1.
3. How can I use the GCD of 426, 317, 400, 442Calculator?
Out the numbers 426, 317, 400, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.