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, 663, 103, 743 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 663, 103, 743 is 1
GCD(747, 663, 103, 743) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 663, 103, 743 is 1
GCD(747, 663, 103, 743) = 1
Given Input numbers are 747, 663, 103, 743
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 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Greatest Common Divisior
We found the divisors of 747, 663, 103, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 663, 103, 743 is 1.
Therefore, GCD of numbers 747, 663, 103, 743 is 1
Given Input Data is 747, 663, 103, 743
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 663 is 3 x 13 x 17
Prime Factorization of 103 is 103
Prime Factorization of 743 is 743
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, 663) = 165087
GCD(747, 663) = ( 747 x 663 ) / 165087
GCD(747, 663) = 495261 / 165087
GCD(747, 663) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 103) = 309
GCD(3, 103) = ( 3 x 103 ) / 309
GCD(3, 103) = 309 / 309
GCD(3, 103) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 743
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 743) = 743
GCD(1, 743) = ( 1 x 743 ) / 743
GCD(1, 743) = 743 / 743
GCD(1, 743) = 1
GCD of 747, 663, 103, 743 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 663, 103, 743?
GCD of 747, 663, 103, 743 is 1
2. Where do I get the detailed procedure to find GCD of 747, 663, 103, 743?
You can find a detailed procedure to find GCD of 747, 663, 103, 743 on our page.
3. How to find GCD of 747, 663, 103, 743 on a calculator?
You can find the GCD of 747, 663, 103, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.