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 741, 491, 873, 697 i.e. 1 largest integer that divides all the numbers equally.
GCD of 741, 491, 873, 697 is 1
GCD(741, 491, 873, 697) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 741, 491, 873, 697 is 1
GCD(741, 491, 873, 697) = 1
Given Input numbers are 741, 491, 873, 697
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Greatest Common Divisior
We found the divisors of 741, 491, 873, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 491, 873, 697 is 1.
Therefore, GCD of numbers 741, 491, 873, 697 is 1
Given Input Data is 741, 491, 873, 697
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 491 is 491
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 697 is 17 x 41
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(741, 491) = 363831
GCD(741, 491) = ( 741 x 491 ) / 363831
GCD(741, 491) = 363831 / 363831
GCD(741, 491) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 873) = 873
GCD(1, 873) = ( 1 x 873 ) / 873
GCD(1, 873) = 873 / 873
GCD(1, 873) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
GCD(1, 697) = 697 / 697
GCD(1, 697) = 1
GCD of 741, 491, 873, 697 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 741, 491, 873, 697?
GCD of 741, 491, 873, 697 is 1
2. Where do I get the detailed procedure to find GCD of 741, 491, 873, 697?
You can find a detailed procedure to find GCD of 741, 491, 873, 697 on our page.
3. How to find GCD of 741, 491, 873, 697 on a calculator?
You can find the GCD of 741, 491, 873, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.