Online GCD Calculator is useful to find the GCD of 696, 312, 251, 440 quickly. Get the easiest ways to solve the greatest common divisor of 696, 312, 251, 440 i.e 1 in different methods as follows.
Given Input numbers are 696, 312, 251, 440
In the factoring method, we have to find the divisors of all numbers
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
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
Divisors of 251 :
The positive integer divisors of 251 that completely divides 251 are.
1, 251
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
GCD of numbers is the greatest common divisor
So, the GCD (696, 312, 251, 440) = 1.
Given numbers are 696, 312, 251, 440
The list of prime factors of all numbers are
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 251 are 251
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 696, 312, 251, 440
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(696, 312) = 9048
GCD(696, 312) = ( 696 x 312 ) / 9048
= 696 / 312
= 696
Step2:
LCM(24, 251) = 6024
GCD(24, 251) = ( 24 x 251 ) / 6024
= 24 / 251
= 24
Step3:
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
= 1 / 440
= 1
So, Greatest Common Divisor of 696, 312, 251, 440 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 696, 312, 251, 440
The greatest common divisor of numbers 696, 312, 251, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 312, 251, 440 is 1.
1. What is the GCD of 696, 312, 251, 440?
GCD of given numbers 696, 312, 251, 440 is 1
2. How to calculate the greatest common divisor of 696, 312, 251, 440?
We can find the highest common divisor of 696, 312, 251, 440 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 696, 312, 251, 440 i.e 1.
3. How can I use the GCD of 696, 312, 251, 440Calculator?
Out the numbers 696, 312, 251, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.