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, 993, 61, 105 i.e. 1 largest integer that divides all the numbers equally.
GCD of 748, 993, 61, 105 is 1
GCD(748, 993, 61, 105) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 993, 61, 105 is 1
GCD(748, 993, 61, 105) = 1
Given Input numbers are 748, 993, 61, 105
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 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Greatest Common Divisior
We found the divisors of 748, 993, 61, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 993, 61, 105 is 1.
Therefore, GCD of numbers 748, 993, 61, 105 is 1
Given Input Data is 748, 993, 61, 105
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 993 is 3 x 331
Prime Factorization of 61 is 61
Prime Factorization of 105 is 3 x 5 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, 993) = 742764
GCD(748, 993) = ( 748 x 993 ) / 742764
GCD(748, 993) = 742764 / 742764
GCD(748, 993) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 105
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
GCD(1, 105) = 105 / 105
GCD(1, 105) = 1
GCD of 748, 993, 61, 105 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 748, 993, 61, 105?
GCD of 748, 993, 61, 105 is 1
2. Where do I get the detailed procedure to find GCD of 748, 993, 61, 105?
You can find a detailed procedure to find GCD of 748, 993, 61, 105 on our page.
3. How to find GCD of 748, 993, 61, 105 on a calculator?
You can find the GCD of 748, 993, 61, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.