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, 754, 900, 699 i.e. 1 largest integer that divides all the numbers equally.
GCD of 797, 754, 900, 699 is 1
GCD(797, 754, 900, 699) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 797, 754, 900, 699 is 1
GCD(797, 754, 900, 699) = 1
Given Input numbers are 797, 754, 900, 699
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 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Greatest Common Divisior
We found the divisors of 797, 754, 900, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 797, 754, 900, 699 is 1.
Therefore, GCD of numbers 797, 754, 900, 699 is 1
Given Input Data is 797, 754, 900, 699
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 797 is 797
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 699 is 3 x 233
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, 754) = 600938
GCD(797, 754) = ( 797 x 754 ) / 600938
GCD(797, 754) = 600938 / 600938
GCD(797, 754) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 900
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
GCD(1, 900) = 900 / 900
GCD(1, 900) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
GCD(1, 699) = 699 / 699
GCD(1, 699) = 1
GCD of 797, 754, 900, 699 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 797, 754, 900, 699?
GCD of 797, 754, 900, 699 is 1
2. Where do I get the detailed procedure to find GCD of 797, 754, 900, 699?
You can find a detailed procedure to find GCD of 797, 754, 900, 699 on our page.
3. How to find GCD of 797, 754, 900, 699 on a calculator?
You can find the GCD of 797, 754, 900, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.