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 97, 528, 243, 520 i.e. 1 largest integer that divides all the numbers equally.
GCD of 97, 528, 243, 520 is 1
GCD(97, 528, 243, 520) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 97, 528, 243, 520 is 1
GCD(97, 528, 243, 520) = 1
Given Input numbers are 97, 528, 243, 520
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Greatest Common Divisior
We found the divisors of 97, 528, 243, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 528, 243, 520 is 1.
Therefore, GCD of numbers 97, 528, 243, 520 is 1
Given Input Data is 97, 528, 243, 520
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 97 is 97
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
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(97, 528) = 51216
GCD(97, 528) = ( 97 x 528 ) / 51216
GCD(97, 528) = 51216 / 51216
GCD(97, 528) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
GCD(1, 243) = 243 / 243
GCD(1, 243) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
GCD of 97, 528, 243, 520 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 97, 528, 243, 520?
GCD of 97, 528, 243, 520 is 1
2. Where do I get the detailed procedure to find GCD of 97, 528, 243, 520?
You can find a detailed procedure to find GCD of 97, 528, 243, 520 on our page.
3. How to find GCD of 97, 528, 243, 520 on a calculator?
You can find the GCD of 97, 528, 243, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.