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 251, 577, 11, 524 i.e. 1 largest integer that divides all the numbers equally.
GCD of 251, 577, 11, 524 is 1
GCD(251, 577, 11, 524) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 251, 577, 11, 524 is 1
GCD(251, 577, 11, 524) = 1
Given Input numbers are 251, 577, 11, 524
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Greatest Common Divisior
We found the divisors of 251, 577, 11, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 251, 577, 11, 524 is 1.
Therefore, GCD of numbers 251, 577, 11, 524 is 1
Given Input Data is 251, 577, 11, 524
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 251 is 251
Prime Factorization of 577 is 577
Prime Factorization of 11 is 11
Prime Factorization of 524 is 2 x 2 x 131
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(251, 577) = 144827
GCD(251, 577) = ( 251 x 577 ) / 144827
GCD(251, 577) = 144827 / 144827
GCD(251, 577) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 524
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 524) = 524
GCD(1, 524) = ( 1 x 524 ) / 524
GCD(1, 524) = 524 / 524
GCD(1, 524) = 1
GCD of 251, 577, 11, 524 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 251, 577, 11, 524?
GCD of 251, 577, 11, 524 is 1
2. Where do I get the detailed procedure to find GCD of 251, 577, 11, 524?
You can find a detailed procedure to find GCD of 251, 577, 11, 524 on our page.
3. How to find GCD of 251, 577, 11, 524 on a calculator?
You can find the GCD of 251, 577, 11, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.