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 495, 766, 273, 340 i.e. 1 largest integer that divides all the numbers equally.
GCD of 495, 766, 273, 340 is 1
GCD(495, 766, 273, 340) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 495, 766, 273, 340 is 1
GCD(495, 766, 273, 340) = 1
Given Input numbers are 495, 766, 273, 340
To find the GCD of numbers using factoring list out all the divisors of each number
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 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Greatest Common Divisior
We found the divisors of 495, 766, 273, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 766, 273, 340 is 1.
Therefore, GCD of numbers 495, 766, 273, 340 is 1
Given Input Data is 495, 766, 273, 340
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 766 is 2 x 383
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 340 is 2 x 2 x 5 x 17
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(495, 766) = 379170
GCD(495, 766) = ( 495 x 766 ) / 379170
GCD(495, 766) = 379170 / 379170
GCD(495, 766) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 273
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 273) = 273
GCD(1, 273) = ( 1 x 273 ) / 273
GCD(1, 273) = 273 / 273
GCD(1, 273) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
GCD(1, 340) = 340 / 340
GCD(1, 340) = 1
GCD of 495, 766, 273, 340 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 495, 766, 273, 340?
GCD of 495, 766, 273, 340 is 1
2. Where do I get the detailed procedure to find GCD of 495, 766, 273, 340?
You can find a detailed procedure to find GCD of 495, 766, 273, 340 on our page.
3. How to find GCD of 495, 766, 273, 340 on a calculator?
You can find the GCD of 495, 766, 273, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.