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 261, 244, 628, 523 i.e. 1 largest integer that divides all the numbers equally.
GCD of 261, 244, 628, 523 is 1
GCD(261, 244, 628, 523) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 261, 244, 628, 523 is 1
GCD(261, 244, 628, 523) = 1
Given Input numbers are 261, 244, 628, 523
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 244
List of positive integer divisors of 244 that divides 244 without a remainder.
1, 2, 4, 61, 122, 244
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Greatest Common Divisior
We found the divisors of 261, 244, 628, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 244, 628, 523 is 1.
Therefore, GCD of numbers 261, 244, 628, 523 is 1
Given Input Data is 261, 244, 628, 523
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 244 is 2 x 2 x 61
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 523 is 523
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(261, 244) = 63684
GCD(261, 244) = ( 261 x 244 ) / 63684
GCD(261, 244) = 63684 / 63684
GCD(261, 244) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 628
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 628) = 628
GCD(1, 628) = ( 1 x 628 ) / 628
GCD(1, 628) = 628 / 628
GCD(1, 628) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 523) = 523
GCD(1, 523) = ( 1 x 523 ) / 523
GCD(1, 523) = 523 / 523
GCD(1, 523) = 1
GCD of 261, 244, 628, 523 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 261, 244, 628, 523?
GCD of 261, 244, 628, 523 is 1
2. Where do I get the detailed procedure to find GCD of 261, 244, 628, 523?
You can find a detailed procedure to find GCD of 261, 244, 628, 523 on our page.
3. How to find GCD of 261, 244, 628, 523 on a calculator?
You can find the GCD of 261, 244, 628, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.