Online GCD Calculator is useful to find the GCD of 112, 965, 882, 997 quickly. Get the easiest ways to solve the greatest common divisor of 112, 965, 882, 997 i.e 1 in different methods as follows.
Given Input numbers are 112, 965, 882, 997
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 965 :
The positive integer divisors of 965 that completely divides 965 are.
1, 5, 193, 965
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
GCD of numbers is the greatest common divisor
So, the GCD (112, 965, 882, 997) = 1.
Given numbers are 112, 965, 882, 997
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 965 are 5 x 193
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 112, 965, 882, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 965) = 108080
GCD(112, 965) = ( 112 x 965 ) / 108080
= 112 / 965
= 112
Step2:
LCM(1, 882) = 882
GCD(1, 882) = ( 1 x 882 ) / 882
= 1 / 882
= 1
Step3:
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
= 1 / 997
= 1
So, Greatest Common Divisor of 112, 965, 882, 997 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 965, 882, 997
The greatest common divisor of numbers 112, 965, 882, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 965, 882, 997 is 1.
1. What is the GCD of 112, 965, 882, 997?
GCD of given numbers 112, 965, 882, 997 is 1
2. How to calculate the greatest common divisor of 112, 965, 882, 997?
We can find the highest common divisor of 112, 965, 882, 997 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, 965, 882, 997 i.e 1.
3. How can I use the GCD of 112, 965, 882, 997Calculator?
Out the numbers 112, 965, 882, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.