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 762, 993, 97 i.e. 1 largest integer that divides all the numbers equally.
GCD of 762, 993, 97 is 1
GCD(762, 993, 97) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 762, 993, 97 is 1
GCD(762, 993, 97) = 1
Given Input numbers are 762, 993, 97
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Greatest Common Divisior
We found the divisors of 762, 993, 97 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 993, 97 is 1.
Therefore, GCD of numbers 762, 993, 97 is 1
Given Input Data is 762, 993, 97
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 993 is 3 x 331
Prime Factorization of 97 is 97
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(762, 993) = 252222
GCD(762, 993) = ( 762 x 993 ) / 252222
GCD(762, 993) = 756666 / 252222
GCD(762, 993) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 97) = 291
GCD(3, 97) = ( 3 x 97 ) / 291
GCD(3, 97) = 291 / 291
GCD(3, 97) = 1
GCD of 762, 993, 97 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 762, 993, 97?
GCD of 762, 993, 97 is 1
2. Where do I get the detailed procedure to find GCD of 762, 993, 97?
You can find a detailed procedure to find GCD of 762, 993, 97 on our page.
3. How to find GCD of 762, 993, 97 on a calculator?
You can find the GCD of 762, 993, 97 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.