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, 927, 700, 522 i.e. 1 largest integer that divides all the numbers equally.
GCD of 97, 927, 700, 522 is 1
GCD(97, 927, 700, 522) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 97, 927, 700, 522 is 1
GCD(97, 927, 700, 522) = 1
Given Input numbers are 97, 927, 700, 522
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 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Greatest Common Divisior
We found the divisors of 97, 927, 700, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 927, 700, 522 is 1.
Therefore, GCD of numbers 97, 927, 700, 522 is 1
Given Input Data is 97, 927, 700, 522
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 97 is 97
Prime Factorization of 927 is 3 x 3 x 103
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 522 is 2 x 3 x 3 x 29
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, 927) = 89919
GCD(97, 927) = ( 97 x 927 ) / 89919
GCD(97, 927) = 89919 / 89919
GCD(97, 927) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
GCD(1, 700) = 700 / 700
GCD(1, 700) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 522
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 522) = 522
GCD(1, 522) = ( 1 x 522 ) / 522
GCD(1, 522) = 522 / 522
GCD(1, 522) = 1
GCD of 97, 927, 700, 522 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 97, 927, 700, 522?
GCD of 97, 927, 700, 522 is 1
2. Where do I get the detailed procedure to find GCD of 97, 927, 700, 522?
You can find a detailed procedure to find GCD of 97, 927, 700, 522 on our page.
3. How to find GCD of 97, 927, 700, 522 on a calculator?
You can find the GCD of 97, 927, 700, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.