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 747, 112, 81, 110 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 112, 81, 110 is 1
GCD(747, 112, 81, 110) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 112, 81, 110 is 1
GCD(747, 112, 81, 110) = 1
Given Input numbers are 747, 112, 81, 110
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
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 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Greatest Common Divisior
We found the divisors of 747, 112, 81, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 112, 81, 110 is 1.
Therefore, GCD of numbers 747, 112, 81, 110 is 1
Given Input Data is 747, 112, 81, 110
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 110 is 2 x 5 x 11
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(747, 112) = 83664
GCD(747, 112) = ( 747 x 112 ) / 83664
GCD(747, 112) = 83664 / 83664
GCD(747, 112) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 81) = 81
GCD(1, 81) = ( 1 x 81 ) / 81
GCD(1, 81) = 81 / 81
GCD(1, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
GCD of 747, 112, 81, 110 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 112, 81, 110?
GCD of 747, 112, 81, 110 is 1
2. Where do I get the detailed procedure to find GCD of 747, 112, 81, 110?
You can find a detailed procedure to find GCD of 747, 112, 81, 110 on our page.
3. How to find GCD of 747, 112, 81, 110 on a calculator?
You can find the GCD of 747, 112, 81, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.