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 886, 126, 324, 345 i.e. 1 largest integer that divides all the numbers equally.
GCD of 886, 126, 324, 345 is 1
GCD(886, 126, 324, 345) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 886, 126, 324, 345 is 1
GCD(886, 126, 324, 345) = 1
Given Input numbers are 886, 126, 324, 345
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Greatest Common Divisior
We found the divisors of 886, 126, 324, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 886, 126, 324, 345 is 1.
Therefore, GCD of numbers 886, 126, 324, 345 is 1
Given Input Data is 886, 126, 324, 345
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 886 is 2 x 443
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 345 is 3 x 5 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(886, 126) = 55818
GCD(886, 126) = ( 886 x 126 ) / 55818
GCD(886, 126) = 111636 / 55818
GCD(886, 126) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 324) = 324
GCD(2, 324) = ( 2 x 324 ) / 324
GCD(2, 324) = 648 / 324
GCD(2, 324) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 345) = 690
GCD(2, 345) = ( 2 x 345 ) / 690
GCD(2, 345) = 690 / 690
GCD(2, 345) = 1
GCD of 886, 126, 324, 345 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 886, 126, 324, 345?
GCD of 886, 126, 324, 345 is 1
2. Where do I get the detailed procedure to find GCD of 886, 126, 324, 345?
You can find a detailed procedure to find GCD of 886, 126, 324, 345 on our page.
3. How to find GCD of 886, 126, 324, 345 on a calculator?
You can find the GCD of 886, 126, 324, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.