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 265, 476, 53, 313 i.e. 1 largest integer that divides all the numbers equally.
GCD of 265, 476, 53, 313 is 1
GCD(265, 476, 53, 313) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 265, 476, 53, 313 is 1
GCD(265, 476, 53, 313) = 1
Given Input numbers are 265, 476, 53, 313
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Greatest Common Divisior
We found the divisors of 265, 476, 53, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 476, 53, 313 is 1.
Therefore, GCD of numbers 265, 476, 53, 313 is 1
Given Input Data is 265, 476, 53, 313
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 265 is 5 x 53
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 53 is 53
Prime Factorization of 313 is 313
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(265, 476) = 126140
GCD(265, 476) = ( 265 x 476 ) / 126140
GCD(265, 476) = 126140 / 126140
GCD(265, 476) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 53) = 53
GCD(1, 53) = ( 1 x 53 ) / 53
GCD(1, 53) = 53 / 53
GCD(1, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 313
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 313) = 313
GCD(1, 313) = ( 1 x 313 ) / 313
GCD(1, 313) = 313 / 313
GCD(1, 313) = 1
GCD of 265, 476, 53, 313 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 265, 476, 53, 313?
GCD of 265, 476, 53, 313 is 1
2. Where do I get the detailed procedure to find GCD of 265, 476, 53, 313?
You can find a detailed procedure to find GCD of 265, 476, 53, 313 on our page.
3. How to find GCD of 265, 476, 53, 313 on a calculator?
You can find the GCD of 265, 476, 53, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.