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, 830, 616, 667 i.e. 1 largest integer that divides all the numbers equally.
GCD of 897, 830, 616, 667 is 1
GCD(897, 830, 616, 667) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 897, 830, 616, 667 is 1
GCD(897, 830, 616, 667) = 1
Given Input numbers are 897, 830, 616, 667
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 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
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 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Greatest Common Divisior
We found the divisors of 897, 830, 616, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 830, 616, 667 is 1.
Therefore, GCD of numbers 897, 830, 616, 667 is 1
Given Input Data is 897, 830, 616, 667
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 830 is 2 x 5 x 83
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 667 is 23 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(897, 830) = 744510
GCD(897, 830) = ( 897 x 830 ) / 744510
GCD(897, 830) = 744510 / 744510
GCD(897, 830) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
GCD(1, 616) = 616 / 616
GCD(1, 616) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 667) = 667
GCD(1, 667) = ( 1 x 667 ) / 667
GCD(1, 667) = 667 / 667
GCD(1, 667) = 1
GCD of 897, 830, 616, 667 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 897, 830, 616, 667?
GCD of 897, 830, 616, 667 is 1
2. Where do I get the detailed procedure to find GCD of 897, 830, 616, 667?
You can find a detailed procedure to find GCD of 897, 830, 616, 667 on our page.
3. How to find GCD of 897, 830, 616, 667 on a calculator?
You can find the GCD of 897, 830, 616, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.