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 866, 348, 18, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 866, 348, 18, 737 is 1
GCD(866, 348, 18, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 866, 348, 18, 737 is 1
GCD(866, 348, 18, 737) = 1
Given Input numbers are 866, 348, 18, 737
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Greatest Common Divisior
We found the divisors of 866, 348, 18, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 866, 348, 18, 737 is 1.
Therefore, GCD of numbers 866, 348, 18, 737 is 1
Given Input Data is 866, 348, 18, 737
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 866 is 2 x 433
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 737 is 11 x 67
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(866, 348) = 150684
GCD(866, 348) = ( 866 x 348 ) / 150684
GCD(866, 348) = 301368 / 150684
GCD(866, 348) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
GCD(2, 18) = 36 / 18
GCD(2, 18) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 737) = 1474
GCD(2, 737) = ( 2 x 737 ) / 1474
GCD(2, 737) = 1474 / 1474
GCD(2, 737) = 1
GCD of 866, 348, 18, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 866, 348, 18, 737?
GCD of 866, 348, 18, 737 is 1
2. Where do I get the detailed procedure to find GCD of 866, 348, 18, 737?
You can find a detailed procedure to find GCD of 866, 348, 18, 737 on our page.
3. How to find GCD of 866, 348, 18, 737 on a calculator?
You can find the GCD of 866, 348, 18, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.