Online GCD Calculator is useful to find the GCD of 112, 967, 708, 596 quickly. Get the easiest ways to solve the greatest common divisor of 112, 967, 708, 596 i.e 1 in different methods as follows.
Given Input numbers are 112, 967, 708, 596
In the factoring method, we have to find the divisors of all numbers
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 967 :
The positive integer divisors of 967 that completely divides 967 are.
1, 967
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 596 :
The positive integer divisors of 596 that completely divides 596 are.
1, 2, 4, 149, 298, 596
GCD of numbers is the greatest common divisor
So, the GCD (112, 967, 708, 596) = 1.
Given numbers are 112, 967, 708, 596
The list of prime factors of all numbers are
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 967 are 967
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 596 are 2 x 2 x 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 112, 967, 708, 596
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 967) = 108304
GCD(112, 967) = ( 112 x 967 ) / 108304
= 112 / 967
= 112
Step2:
LCM(1, 708) = 708
GCD(1, 708) = ( 1 x 708 ) / 708
= 1 / 708
= 1
Step3:
LCM(1, 596) = 596
GCD(1, 596) = ( 1 x 596 ) / 596
= 1 / 596
= 1
So, Greatest Common Divisor of 112, 967, 708, 596 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 967, 708, 596
The greatest common divisor of numbers 112, 967, 708, 596 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 967, 708, 596 is 1.
1. What is the GCD of 112, 967, 708, 596?
GCD of given numbers 112, 967, 708, 596 is 1
2. How to calculate the greatest common divisor of 112, 967, 708, 596?
We can find the highest common divisor of 112, 967, 708, 596 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 112, 967, 708, 596 i.e 1.
3. How can I use the GCD of 112, 967, 708, 596Calculator?
Out the numbers 112, 967, 708, 596 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.