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 385, 742, 19, 991 i.e. 1 largest integer that divides all the numbers equally.
GCD of 385, 742, 19, 991 is 1
GCD(385, 742, 19, 991) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 385, 742, 19, 991 is 1
GCD(385, 742, 19, 991) = 1
Given Input numbers are 385, 742, 19, 991
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Greatest Common Divisior
We found the divisors of 385, 742, 19, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 742, 19, 991 is 1.
Therefore, GCD of numbers 385, 742, 19, 991 is 1
Given Input Data is 385, 742, 19, 991
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 19 is 19
Prime Factorization of 991 is 991
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(385, 742) = 40810
GCD(385, 742) = ( 385 x 742 ) / 40810
GCD(385, 742) = 285670 / 40810
GCD(385, 742) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 19) = 133
GCD(7, 19) = ( 7 x 19 ) / 133
GCD(7, 19) = 133 / 133
GCD(7, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 991
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 991) = 991
GCD(1, 991) = ( 1 x 991 ) / 991
GCD(1, 991) = 991 / 991
GCD(1, 991) = 1
GCD of 385, 742, 19, 991 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 385, 742, 19, 991?
GCD of 385, 742, 19, 991 is 1
2. Where do I get the detailed procedure to find GCD of 385, 742, 19, 991?
You can find a detailed procedure to find GCD of 385, 742, 19, 991 on our page.
3. How to find GCD of 385, 742, 19, 991 on a calculator?
You can find the GCD of 385, 742, 19, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.