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, 740, 185, 706 i.e. 1 largest integer that divides all the numbers equally.
GCD of 99, 740, 185, 706 is 1
GCD(99, 740, 185, 706) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 99, 740, 185, 706 is 1
GCD(99, 740, 185, 706) = 1
Given Input numbers are 99, 740, 185, 706
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 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Greatest Common Divisior
We found the divisors of 99, 740, 185, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 740, 185, 706 is 1.
Therefore, GCD of numbers 99, 740, 185, 706 is 1
Given Input Data is 99, 740, 185, 706
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 740 is 2 x 2 x 5 x 37
Prime Factorization of 185 is 5 x 37
Prime Factorization of 706 is 2 x 353
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, 740) = 73260
GCD(99, 740) = ( 99 x 740 ) / 73260
GCD(99, 740) = 73260 / 73260
GCD(99, 740) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 185
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 185) = 185
GCD(1, 185) = ( 1 x 185 ) / 185
GCD(1, 185) = 185 / 185
GCD(1, 185) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 706
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 706) = 706
GCD(1, 706) = ( 1 x 706 ) / 706
GCD(1, 706) = 706 / 706
GCD(1, 706) = 1
GCD of 99, 740, 185, 706 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 99, 740, 185, 706?
GCD of 99, 740, 185, 706 is 1
2. Where do I get the detailed procedure to find GCD of 99, 740, 185, 706?
You can find a detailed procedure to find GCD of 99, 740, 185, 706 on our page.
3. How to find GCD of 99, 740, 185, 706 on a calculator?
You can find the GCD of 99, 740, 185, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.