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 897, 141, 228, 577 i.e. 1 largest integer that divides all the numbers equally.
GCD of 897, 141, 228, 577 is 1
GCD(897, 141, 228, 577) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 897, 141, 228, 577 is 1
GCD(897, 141, 228, 577) = 1
Given Input numbers are 897, 141, 228, 577
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Greatest Common Divisior
We found the divisors of 897, 141, 228, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 141, 228, 577 is 1.
Therefore, GCD of numbers 897, 141, 228, 577 is 1
Given Input Data is 897, 141, 228, 577
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 141 is 3 x 47
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 577 is 577
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(897, 141) = 42159
GCD(897, 141) = ( 897 x 141 ) / 42159
GCD(897, 141) = 126477 / 42159
GCD(897, 141) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 228
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 228) = 228
GCD(3, 228) = ( 3 x 228 ) / 228
GCD(3, 228) = 684 / 228
GCD(3, 228) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 577
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 577) = 1731
GCD(3, 577) = ( 3 x 577 ) / 1731
GCD(3, 577) = 1731 / 1731
GCD(3, 577) = 1
GCD of 897, 141, 228, 577 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 897, 141, 228, 577?
GCD of 897, 141, 228, 577 is 1
2. Where do I get the detailed procedure to find GCD of 897, 141, 228, 577?
You can find a detailed procedure to find GCD of 897, 141, 228, 577 on our page.
3. How to find GCD of 897, 141, 228, 577 on a calculator?
You can find the GCD of 897, 141, 228, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.