Online GCD Calculator is useful to find the GCD of 427, 251, 697, 312 quickly. Get the easiest ways to solve the greatest common divisor of 427, 251, 697, 312 i.e 1 in different methods as follows.
Given Input numbers are 427, 251, 697, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
Divisors of 251 :
The positive integer divisors of 251 that completely divides 251 are.
1, 251
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (427, 251, 697, 312) = 1.
Given numbers are 427, 251, 697, 312
The list of prime factors of all numbers are
Prime factors of 427 are 7 x 61
Prime factors of 251 are 251
Prime factors of 697 are 17 x 41
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 427, 251, 697, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(427, 251) = 107177
GCD(427, 251) = ( 427 x 251 ) / 107177
= 427 / 251
= 427
Step2:
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
= 1 / 697
= 1
Step3:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
So, Greatest Common Divisor of 427, 251, 697, 312 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 427, 251, 697, 312
The greatest common divisor of numbers 427, 251, 697, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 251, 697, 312 is 1.
1. What is the GCD of 427, 251, 697, 312?
GCD of given numbers 427, 251, 697, 312 is 1
2. How to calculate the greatest common divisor of 427, 251, 697, 312?
We can find the highest common divisor of 427, 251, 697, 312 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 427, 251, 697, 312 i.e 1.
3. How can I use the GCD of 427, 251, 697, 312Calculator?
Out the numbers 427, 251, 697, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.