Online GCD Calculator is useful to find the GCD of 508, 913, 923, 400 quickly. Get the easiest ways to solve the greatest common divisor of 508, 913, 923, 400 i.e 1 in different methods as follows.
Given Input numbers are 508, 913, 923, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 913 :
The positive integer divisors of 913 that completely divides 913 are.
1, 11, 83, 913
Divisors of 923 :
The positive integer divisors of 923 that completely divides 923 are.
1, 13, 71, 923
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 (508, 913, 923, 400) = 1.
Given numbers are 508, 913, 923, 400
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 913 are 11 x 83
Prime factors of 923 are 13 x 71
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 508, 913, 923, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 913) = 463804
GCD(508, 913) = ( 508 x 913 ) / 463804
= 508 / 913
= 508
Step2:
LCM(1, 923) = 923
GCD(1, 923) = ( 1 x 923 ) / 923
= 1 / 923
= 1
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 508, 913, 923, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 913, 923, 400
The greatest common divisor of numbers 508, 913, 923, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 913, 923, 400 is 1.
1. What is the GCD of 508, 913, 923, 400?
GCD of given numbers 508, 913, 923, 400 is 1
2. How to calculate the greatest common divisor of 508, 913, 923, 400?
We can find the highest common divisor of 508, 913, 923, 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 508, 913, 923, 400 i.e 1.
3. How can I use the GCD of 508, 913, 923, 400Calculator?
Out the numbers 508, 913, 923, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.