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 293, 697, 37, 763 i.e. 1 largest integer that divides all the numbers equally.
GCD of 293, 697, 37, 763 is 1
GCD(293, 697, 37, 763) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 293, 697, 37, 763 is 1
GCD(293, 697, 37, 763) = 1
Given Input numbers are 293, 697, 37, 763
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Greatest Common Divisior
We found the divisors of 293, 697, 37, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 293, 697, 37, 763 is 1.
Therefore, GCD of numbers 293, 697, 37, 763 is 1
Given Input Data is 293, 697, 37, 763
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 293 is 293
Prime Factorization of 697 is 17 x 41
Prime Factorization of 37 is 37
Prime Factorization of 763 is 7 x 109
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(293, 697) = 204221
GCD(293, 697) = ( 293 x 697 ) / 204221
GCD(293, 697) = 204221 / 204221
GCD(293, 697) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 37) = 37
GCD(1, 37) = ( 1 x 37 ) / 37
GCD(1, 37) = 37 / 37
GCD(1, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 763) = 763
GCD(1, 763) = ( 1 x 763 ) / 763
GCD(1, 763) = 763 / 763
GCD(1, 763) = 1
GCD of 293, 697, 37, 763 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 293, 697, 37, 763?
GCD of 293, 697, 37, 763 is 1
2. Where do I get the detailed procedure to find GCD of 293, 697, 37, 763?
You can find a detailed procedure to find GCD of 293, 697, 37, 763 on our page.
3. How to find GCD of 293, 697, 37, 763 on a calculator?
You can find the GCD of 293, 697, 37, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.