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 731, 720, 998, 807 i.e. 1 largest integer that divides all the numbers equally.
GCD of 731, 720, 998, 807 is 1
GCD(731, 720, 998, 807) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 731, 720, 998, 807 is 1
GCD(731, 720, 998, 807) = 1
Given Input numbers are 731, 720, 998, 807
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Greatest Common Divisior
We found the divisors of 731, 720, 998, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 720, 998, 807 is 1.
Therefore, GCD of numbers 731, 720, 998, 807 is 1
Given Input Data is 731, 720, 998, 807
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 731 is 17 x 43
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 998 is 2 x 499
Prime Factorization of 807 is 3 x 269
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(731, 720) = 526320
GCD(731, 720) = ( 731 x 720 ) / 526320
GCD(731, 720) = 526320 / 526320
GCD(731, 720) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 998
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
GCD(1, 998) = 998 / 998
GCD(1, 998) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 807
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 807) = 807
GCD(1, 807) = ( 1 x 807 ) / 807
GCD(1, 807) = 807 / 807
GCD(1, 807) = 1
GCD of 731, 720, 998, 807 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 731, 720, 998, 807?
GCD of 731, 720, 998, 807 is 1
2. Where do I get the detailed procedure to find GCD of 731, 720, 998, 807?
You can find a detailed procedure to find GCD of 731, 720, 998, 807 on our page.
3. How to find GCD of 731, 720, 998, 807 on a calculator?
You can find the GCD of 731, 720, 998, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.