Online GCD Calculator is useful to find the GCD of 712, 582, 112, 331 quickly. Get the easiest ways to solve the greatest common divisor of 712, 582, 112, 331 i.e 1 in different methods as follows.
Given Input numbers are 712, 582, 112, 331
In the factoring method, we have to find the divisors of all numbers
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 331 :
The positive integer divisors of 331 that completely divides 331 are.
1, 331
GCD of numbers is the greatest common divisor
So, the GCD (712, 582, 112, 331) = 1.
Given numbers are 712, 582, 112, 331
The list of prime factors of all numbers are
Prime factors of 712 are 2 x 2 x 2 x 89
Prime factors of 582 are 2 x 3 x 97
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 331 are 331
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 712, 582, 112, 331
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(712, 582) = 207192
GCD(712, 582) = ( 712 x 582 ) / 207192
= 712 / 582
= 712
Step2:
LCM(2, 112) = 112
GCD(2, 112) = ( 2 x 112 ) / 112
= 2 / 112
= 2
Step3:
LCM(2, 331) = 662
GCD(2, 331) = ( 2 x 331 ) / 662
= 2 / 331
= 2
So, Greatest Common Divisor of 712, 582, 112, 331 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 712, 582, 112, 331
The greatest common divisor of numbers 712, 582, 112, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 582, 112, 331 is 1.
1. What is the GCD of 712, 582, 112, 331?
GCD of given numbers 712, 582, 112, 331 is 1
2. How to calculate the greatest common divisor of 712, 582, 112, 331?
We can find the highest common divisor of 712, 582, 112, 331 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 712, 582, 112, 331 i.e 1.
3. How can I use the GCD of 712, 582, 112, 331Calculator?
Out the numbers 712, 582, 112, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.