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 524, 621, 21, 949 i.e. 1 largest integer that divides all the numbers equally.
GCD of 524, 621, 21, 949 is 1
GCD(524, 621, 21, 949) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 524, 621, 21, 949 is 1
GCD(524, 621, 21, 949) = 1
Given Input numbers are 524, 621, 21, 949
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Greatest Common Divisior
We found the divisors of 524, 621, 21, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 621, 21, 949 is 1.
Therefore, GCD of numbers 524, 621, 21, 949 is 1
Given Input Data is 524, 621, 21, 949
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 621 is 3 x 3 x 3 x 23
Prime Factorization of 21 is 3 x 7
Prime Factorization of 949 is 13 x 73
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(524, 621) = 325404
GCD(524, 621) = ( 524 x 621 ) / 325404
GCD(524, 621) = 325404 / 325404
GCD(524, 621) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 949
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 949) = 949
GCD(1, 949) = ( 1 x 949 ) / 949
GCD(1, 949) = 949 / 949
GCD(1, 949) = 1
GCD of 524, 621, 21, 949 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 524, 621, 21, 949?
GCD of 524, 621, 21, 949 is 1
2. Where do I get the detailed procedure to find GCD of 524, 621, 21, 949?
You can find a detailed procedure to find GCD of 524, 621, 21, 949 on our page.
3. How to find GCD of 524, 621, 21, 949 on a calculator?
You can find the GCD of 524, 621, 21, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.