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 814, 348, 111, 495 i.e. 1 largest integer that divides all the numbers equally.
GCD of 814, 348, 111, 495 is 1
GCD(814, 348, 111, 495) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 814, 348, 111, 495 is 1
GCD(814, 348, 111, 495) = 1
Given Input numbers are 814, 348, 111, 495
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
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 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Greatest Common Divisior
We found the divisors of 814, 348, 111, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 348, 111, 495 is 1.
Therefore, GCD of numbers 814, 348, 111, 495 is 1
Given Input Data is 814, 348, 111, 495
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 111 is 3 x 37
Prime Factorization of 495 is 3 x 3 x 5 x 11
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(814, 348) = 141636
GCD(814, 348) = ( 814 x 348 ) / 141636
GCD(814, 348) = 283272 / 141636
GCD(814, 348) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 111) = 222
GCD(2, 111) = ( 2 x 111 ) / 222
GCD(2, 111) = 222 / 222
GCD(2, 111) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
GCD(1, 495) = 495 / 495
GCD(1, 495) = 1
GCD of 814, 348, 111, 495 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 814, 348, 111, 495?
GCD of 814, 348, 111, 495 is 1
2. Where do I get the detailed procedure to find GCD of 814, 348, 111, 495?
You can find a detailed procedure to find GCD of 814, 348, 111, 495 on our page.
3. How to find GCD of 814, 348, 111, 495 on a calculator?
You can find the GCD of 814, 348, 111, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.