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 99, 766, 720, 110 i.e. 1 largest integer that divides all the numbers equally.
GCD of 99, 766, 720, 110 is 1
GCD(99, 766, 720, 110) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 99, 766, 720, 110 is 1
GCD(99, 766, 720, 110) = 1
Given Input numbers are 99, 766, 720, 110
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
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 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Greatest Common Divisior
We found the divisors of 99, 766, 720, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 766, 720, 110 is 1.
Therefore, GCD of numbers 99, 766, 720, 110 is 1
Given Input Data is 99, 766, 720, 110
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 766 is 2 x 383
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 110 is 2 x 5 x 11
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(99, 766) = 75834
GCD(99, 766) = ( 99 x 766 ) / 75834
GCD(99, 766) = 75834 / 75834
GCD(99, 766) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
GCD of 99, 766, 720, 110 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 99, 766, 720, 110?
GCD of 99, 766, 720, 110 is 1
2. Where do I get the detailed procedure to find GCD of 99, 766, 720, 110?
You can find a detailed procedure to find GCD of 99, 766, 720, 110 on our page.
3. How to find GCD of 99, 766, 720, 110 on a calculator?
You can find the GCD of 99, 766, 720, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.