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 484, 969, 73, 524 i.e. 1 largest integer that divides all the numbers equally.
GCD of 484, 969, 73, 524 is 1
GCD(484, 969, 73, 524) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 484, 969, 73, 524 is 1
GCD(484, 969, 73, 524) = 1
Given Input numbers are 484, 969, 73, 524
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
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 484, 969, 73, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 969, 73, 524 is 1.
Therefore, GCD of numbers 484, 969, 73, 524 is 1
Given Input Data is 484, 969, 73, 524
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 73 is 73
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(484, 969) = 468996
GCD(484, 969) = ( 484 x 969 ) / 468996
GCD(484, 969) = 468996 / 468996
GCD(484, 969) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 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 484, 969, 73, 524 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 484, 969, 73, 524?
GCD of 484, 969, 73, 524 is 1
2. Where do I get the detailed procedure to find GCD of 484, 969, 73, 524?
You can find a detailed procedure to find GCD of 484, 969, 73, 524 on our page.
3. How to find GCD of 484, 969, 73, 524 on a calculator?
You can find the GCD of 484, 969, 73, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.