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 817, 942, 742, 346 i.e. 1 largest integer that divides all the numbers equally.
GCD of 817, 942, 742, 346 is 1
GCD(817, 942, 742, 346) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 817, 942, 742, 346 is 1
GCD(817, 942, 742, 346) = 1
Given Input numbers are 817, 942, 742, 346
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
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 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Greatest Common Divisior
We found the divisors of 817, 942, 742, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 817, 942, 742, 346 is 1.
Therefore, GCD of numbers 817, 942, 742, 346 is 1
Given Input Data is 817, 942, 742, 346
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 817 is 19 x 43
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 346 is 2 x 173
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(817, 942) = 769614
GCD(817, 942) = ( 817 x 942 ) / 769614
GCD(817, 942) = 769614 / 769614
GCD(817, 942) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
GCD(1, 742) = 742 / 742
GCD(1, 742) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
GCD of 817, 942, 742, 346 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 817, 942, 742, 346?
GCD of 817, 942, 742, 346 is 1
2. Where do I get the detailed procedure to find GCD of 817, 942, 742, 346?
You can find a detailed procedure to find GCD of 817, 942, 742, 346 on our page.
3. How to find GCD of 817, 942, 742, 346 on a calculator?
You can find the GCD of 817, 942, 742, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.