Online GCD Calculator is useful to find the GCD of 314, 381, 533, 400 quickly. Get the easiest ways to solve the greatest common divisor of 314, 381, 533, 400 i.e 1 in different methods as follows.
Given Input numbers are 314, 381, 533, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
Divisors of 533 :
The positive integer divisors of 533 that completely divides 533 are.
1, 13, 41, 533
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 (314, 381, 533, 400) = 1.
Given numbers are 314, 381, 533, 400
The list of prime factors of all numbers are
Prime factors of 314 are 2 x 157
Prime factors of 381 are 3 x 127
Prime factors of 533 are 13 x 41
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 314, 381, 533, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(314, 381) = 119634
GCD(314, 381) = ( 314 x 381 ) / 119634
= 314 / 381
= 314
Step2:
LCM(1, 533) = 533
GCD(1, 533) = ( 1 x 533 ) / 533
= 1 / 533
= 1
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 314, 381, 533, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 314, 381, 533, 400
The greatest common divisor of numbers 314, 381, 533, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 381, 533, 400 is 1.
1. What is the GCD of 314, 381, 533, 400?
GCD of given numbers 314, 381, 533, 400 is 1
2. How to calculate the greatest common divisor of 314, 381, 533, 400?
We can find the highest common divisor of 314, 381, 533, 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 314, 381, 533, 400 i.e 1.
3. How can I use the GCD of 314, 381, 533, 400Calculator?
Out the numbers 314, 381, 533, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.