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 748, 613, 60, 112 i.e. 1 largest integer that divides all the numbers equally.
GCD of 748, 613, 60, 112 is 1
GCD(748, 613, 60, 112) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 613, 60, 112 is 1
GCD(748, 613, 60, 112) = 1
Given Input numbers are 748, 613, 60, 112
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
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
Greatest Common Divisior
We found the divisors of 748, 613, 60, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 613, 60, 112 is 1.
Therefore, GCD of numbers 748, 613, 60, 112 is 1
Given Input Data is 748, 613, 60, 112
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 613 is 613
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
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(748, 613) = 458524
GCD(748, 613) = ( 748 x 613 ) / 458524
GCD(748, 613) = 458524 / 458524
GCD(748, 613) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
GCD(1, 112) = 112 / 112
GCD(1, 112) = 1
GCD of 748, 613, 60, 112 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 748, 613, 60, 112?
GCD of 748, 613, 60, 112 is 1
2. Where do I get the detailed procedure to find GCD of 748, 613, 60, 112?
You can find a detailed procedure to find GCD of 748, 613, 60, 112 on our page.
3. How to find GCD of 748, 613, 60, 112 on a calculator?
You can find the GCD of 748, 613, 60, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.