Online GCD Calculator is useful to find the GCD of 105, 813, 814, 400 quickly. Get the easiest ways to solve the greatest common divisor of 105, 813, 814, 400 i.e 1 in different methods as follows.
Given Input numbers are 105, 813, 814, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 813 :
The positive integer divisors of 813 that completely divides 813 are.
1, 3, 271, 813
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
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 (105, 813, 814, 400) = 1.
Given numbers are 105, 813, 814, 400
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 813 are 3 x 271
Prime factors of 814 are 2 x 11 x 37
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 105, 813, 814, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 813) = 28455
GCD(105, 813) = ( 105 x 813 ) / 28455
= 105 / 813
= 105
Step2:
LCM(3, 814) = 2442
GCD(3, 814) = ( 3 x 814 ) / 2442
= 3 / 814
= 3
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 105, 813, 814, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 813, 814, 400
The greatest common divisor of numbers 105, 813, 814, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 813, 814, 400 is 1.
1. What is the GCD of 105, 813, 814, 400?
GCD of given numbers 105, 813, 814, 400 is 1
2. How to calculate the greatest common divisor of 105, 813, 814, 400?
We can find the highest common divisor of 105, 813, 814, 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 105, 813, 814, 400 i.e 1.
3. How can I use the GCD of 105, 813, 814, 400Calculator?
Out the numbers 105, 813, 814, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.