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 752, 873, 322, 691 i.e. 1 largest integer that divides all the numbers equally.
GCD of 752, 873, 322, 691 is 1
GCD(752, 873, 322, 691) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 873, 322, 691 is 1
GCD(752, 873, 322, 691) = 1
Given Input numbers are 752, 873, 322, 691
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Greatest Common Divisior
We found the divisors of 752, 873, 322, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 873, 322, 691 is 1.
Therefore, GCD of numbers 752, 873, 322, 691 is 1
Given Input Data is 752, 873, 322, 691
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 691 is 691
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(752, 873) = 656496
GCD(752, 873) = ( 752 x 873 ) / 656496
GCD(752, 873) = 656496 / 656496
GCD(752, 873) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
GCD(1, 322) = 322 / 322
GCD(1, 322) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 691) = 691
GCD(1, 691) = ( 1 x 691 ) / 691
GCD(1, 691) = 691 / 691
GCD(1, 691) = 1
GCD of 752, 873, 322, 691 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 873, 322, 691?
GCD of 752, 873, 322, 691 is 1
2. Where do I get the detailed procedure to find GCD of 752, 873, 322, 691?
You can find a detailed procedure to find GCD of 752, 873, 322, 691 on our page.
3. How to find GCD of 752, 873, 322, 691 on a calculator?
You can find the GCD of 752, 873, 322, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.