Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 112, 965, 36, 127 i.e. 1 largest integer that divides all the numbers equally.
GCD of 112, 965, 36, 127 is 1
GCD(112, 965, 36, 127) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 112, 965, 36, 127 is 1
GCD(112, 965, 36, 127) = 1
Given Input numbers are 112, 965, 36, 127
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 127
List of positive integer divisors of 127 that divides 127 without a remainder.
1, 127
Greatest Common Divisior
We found the divisors of 112, 965, 36, 127 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 965, 36, 127 is 1.
Therefore, GCD of numbers 112, 965, 36, 127 is 1
Given Input Data is 112, 965, 36, 127
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 965 is 5 x 193
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 127 is 127
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(112, 965) = 108080
GCD(112, 965) = ( 112 x 965 ) / 108080
GCD(112, 965) = 108080 / 108080
GCD(112, 965) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 127
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 127) = 127
GCD(1, 127) = ( 1 x 127 ) / 127
GCD(1, 127) = 127 / 127
GCD(1, 127) = 1
GCD of 112, 965, 36, 127 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 112, 965, 36, 127?
GCD of 112, 965, 36, 127 is 1
2. Where do I get the detailed procedure to find GCD of 112, 965, 36, 127?
You can find a detailed procedure to find GCD of 112, 965, 36, 127 on our page.
3. How to find GCD of 112, 965, 36, 127 on a calculator?
You can find the GCD of 112, 965, 36, 127 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.