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 52, 705, 265, 903 i.e. 1 largest integer that divides all the numbers equally.
GCD of 52, 705, 265, 903 is 1
GCD(52, 705, 265, 903) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 52, 705, 265, 903 is 1
GCD(52, 705, 265, 903) = 1
Given Input numbers are 52, 705, 265, 903
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Greatest Common Divisior
We found the divisors of 52, 705, 265, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 705, 265, 903 is 1.
Therefore, GCD of numbers 52, 705, 265, 903 is 1
Given Input Data is 52, 705, 265, 903
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 265 is 5 x 53
Prime Factorization of 903 is 3 x 7 x 43
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(52, 705) = 36660
GCD(52, 705) = ( 52 x 705 ) / 36660
GCD(52, 705) = 36660 / 36660
GCD(52, 705) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 265
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 265) = 265
GCD(1, 265) = ( 1 x 265 ) / 265
GCD(1, 265) = 265 / 265
GCD(1, 265) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 903
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 903) = 903
GCD(1, 903) = ( 1 x 903 ) / 903
GCD(1, 903) = 903 / 903
GCD(1, 903) = 1
GCD of 52, 705, 265, 903 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 52, 705, 265, 903?
GCD of 52, 705, 265, 903 is 1
2. Where do I get the detailed procedure to find GCD of 52, 705, 265, 903?
You can find a detailed procedure to find GCD of 52, 705, 265, 903 on our page.
3. How to find GCD of 52, 705, 265, 903 on a calculator?
You can find the GCD of 52, 705, 265, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.