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 748, 495, 367, 146 i.e. 1 largest integer that divides all the numbers equally.
GCD of 748, 495, 367, 146 is 1
GCD(748, 495, 367, 146) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 495, 367, 146 is 1
GCD(748, 495, 367, 146) = 1
Given Input numbers are 748, 495, 367, 146
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
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
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 748, 495, 367, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 495, 367, 146 is 1.
Therefore, GCD of numbers 748, 495, 367, 146 is 1
Given Input Data is 748, 495, 367, 146
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 367 is 367
Prime Factorization of 146 is 2 x 73
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(748, 495) = 33660
GCD(748, 495) = ( 748 x 495 ) / 33660
GCD(748, 495) = 370260 / 33660
GCD(748, 495) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 367
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 367) = 4037
GCD(11, 367) = ( 11 x 367 ) / 4037
GCD(11, 367) = 4037 / 4037
GCD(11, 367) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
GCD of 748, 495, 367, 146 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 748, 495, 367, 146?
GCD of 748, 495, 367, 146 is 1
2. Where do I get the detailed procedure to find GCD of 748, 495, 367, 146?
You can find a detailed procedure to find GCD of 748, 495, 367, 146 on our page.
3. How to find GCD of 748, 495, 367, 146 on a calculator?
You can find the GCD of 748, 495, 367, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.