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, 616, 180, 392 i.e. 1 largest integer that divides all the numbers equally.
GCD of 897, 616, 180, 392 is 1
GCD(897, 616, 180, 392) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 897, 616, 180, 392 is 1
GCD(897, 616, 180, 392) = 1
Given Input numbers are 897, 616, 180, 392
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 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Greatest Common Divisior
We found the divisors of 897, 616, 180, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 616, 180, 392 is 1.
Therefore, GCD of numbers 897, 616, 180, 392 is 1
Given Input Data is 897, 616, 180, 392
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 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
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, 616) = 552552
GCD(897, 616) = ( 897 x 616 ) / 552552
GCD(897, 616) = 552552 / 552552
GCD(897, 616) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
GCD of 897, 616, 180, 392 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 897, 616, 180, 392?
GCD of 897, 616, 180, 392 is 1
2. Where do I get the detailed procedure to find GCD of 897, 616, 180, 392?
You can find a detailed procedure to find GCD of 897, 616, 180, 392 on our page.
3. How to find GCD of 897, 616, 180, 392 on a calculator?
You can find the GCD of 897, 616, 180, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.