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 494, 277, 72, 252 i.e. 1 largest integer that divides all the numbers equally.
GCD of 494, 277, 72, 252 is 1
GCD(494, 277, 72, 252) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 494, 277, 72, 252 is 1
GCD(494, 277, 72, 252) = 1
Given Input numbers are 494, 277, 72, 252
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Greatest Common Divisior
We found the divisors of 494, 277, 72, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 277, 72, 252 is 1.
Therefore, GCD of numbers 494, 277, 72, 252 is 1
Given Input Data is 494, 277, 72, 252
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 277 is 277
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
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(494, 277) = 136838
GCD(494, 277) = ( 494 x 277 ) / 136838
GCD(494, 277) = 136838 / 136838
GCD(494, 277) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
GCD(1, 252) = 252 / 252
GCD(1, 252) = 1
GCD of 494, 277, 72, 252 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 494, 277, 72, 252?
GCD of 494, 277, 72, 252 is 1
2. Where do I get the detailed procedure to find GCD of 494, 277, 72, 252?
You can find a detailed procedure to find GCD of 494, 277, 72, 252 on our page.
3. How to find GCD of 494, 277, 72, 252 on a calculator?
You can find the GCD of 494, 277, 72, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.