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 797, 970, 96, 745 i.e. 1 largest integer that divides all the numbers equally.
GCD of 797, 970, 96, 745 is 1
GCD(797, 970, 96, 745) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 797, 970, 96, 745 is 1
GCD(797, 970, 96, 745) = 1
Given Input numbers are 797, 970, 96, 745
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Greatest Common Divisior
We found the divisors of 797, 970, 96, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 797, 970, 96, 745 is 1.
Therefore, GCD of numbers 797, 970, 96, 745 is 1
Given Input Data is 797, 970, 96, 745
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 797 is 797
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 745 is 5 x 149
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(797, 970) = 773090
GCD(797, 970) = ( 797 x 970 ) / 773090
GCD(797, 970) = 773090 / 773090
GCD(797, 970) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
GCD of 797, 970, 96, 745 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 797, 970, 96, 745?
GCD of 797, 970, 96, 745 is 1
2. Where do I get the detailed procedure to find GCD of 797, 970, 96, 745?
You can find a detailed procedure to find GCD of 797, 970, 96, 745 on our page.
3. How to find GCD of 797, 970, 96, 745 on a calculator?
You can find the GCD of 797, 970, 96, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.