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 335, 394, 55, 782 i.e. 1 largest integer that divides all the numbers equally.
GCD of 335, 394, 55, 782 is 1
GCD(335, 394, 55, 782) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 335, 394, 55, 782 is 1
GCD(335, 394, 55, 782) = 1
Given Input numbers are 335, 394, 55, 782
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Greatest Common Divisior
We found the divisors of 335, 394, 55, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 335, 394, 55, 782 is 1.
Therefore, GCD of numbers 335, 394, 55, 782 is 1
Given Input Data is 335, 394, 55, 782
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 335 is 5 x 67
Prime Factorization of 394 is 2 x 197
Prime Factorization of 55 is 5 x 11
Prime Factorization of 782 is 2 x 17 x 23
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(335, 394) = 131990
GCD(335, 394) = ( 335 x 394 ) / 131990
GCD(335, 394) = 131990 / 131990
GCD(335, 394) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 55) = 55
GCD(1, 55) = ( 1 x 55 ) / 55
GCD(1, 55) = 55 / 55
GCD(1, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 782
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
GCD(1, 782) = 782 / 782
GCD(1, 782) = 1
GCD of 335, 394, 55, 782 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 335, 394, 55, 782?
GCD of 335, 394, 55, 782 is 1
2. Where do I get the detailed procedure to find GCD of 335, 394, 55, 782?
You can find a detailed procedure to find GCD of 335, 394, 55, 782 on our page.
3. How to find GCD of 335, 394, 55, 782 on a calculator?
You can find the GCD of 335, 394, 55, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.