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, 597, 561, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 97, 597, 561, 153 is 1
GCD(97, 597, 561, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 97, 597, 561, 153 is 1
GCD(97, 597, 561, 153) = 1
Given Input numbers are 97, 597, 561, 153
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 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 97, 597, 561, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 597, 561, 153 is 1.
Therefore, GCD of numbers 97, 597, 561, 153 is 1
Given Input Data is 97, 597, 561, 153
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 97 is 97
Prime Factorization of 597 is 3 x 199
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 153 is 3 x 3 x 17
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, 597) = 57909
GCD(97, 597) = ( 97 x 597 ) / 57909
GCD(97, 597) = 57909 / 57909
GCD(97, 597) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
GCD(1, 561) = 561 / 561
GCD(1, 561) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
GCD(1, 153) = 153 / 153
GCD(1, 153) = 1
GCD of 97, 597, 561, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 97, 597, 561, 153?
GCD of 97, 597, 561, 153 is 1
2. Where do I get the detailed procedure to find GCD of 97, 597, 561, 153?
You can find a detailed procedure to find GCD of 97, 597, 561, 153 on our page.
3. How to find GCD of 97, 597, 561, 153 on a calculator?
You can find the GCD of 97, 597, 561, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.