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 616, 928, 452, 469 i.e. 1 largest integer that divides all the numbers equally.
GCD of 616, 928, 452, 469 is 1
GCD(616, 928, 452, 469) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 616, 928, 452, 469 is 1
GCD(616, 928, 452, 469) = 1
Given Input numbers are 616, 928, 452, 469
To find the GCD of numbers using factoring list out all the divisors of each number
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 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Greatest Common Divisior
We found the divisors of 616, 928, 452, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 928, 452, 469 is 1.
Therefore, GCD of numbers 616, 928, 452, 469 is 1
Given Input Data is 616, 928, 452, 469
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 469 is 7 x 67
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(616, 928) = 71456
GCD(616, 928) = ( 616 x 928 ) / 71456
GCD(616, 928) = 571648 / 71456
GCD(616, 928) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 452) = 904
GCD(8, 452) = ( 8 x 452 ) / 904
GCD(8, 452) = 3616 / 904
GCD(8, 452) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 469) = 1876
GCD(4, 469) = ( 4 x 469 ) / 1876
GCD(4, 469) = 1876 / 1876
GCD(4, 469) = 1
GCD of 616, 928, 452, 469 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 616, 928, 452, 469?
GCD of 616, 928, 452, 469 is 1
2. Where do I get the detailed procedure to find GCD of 616, 928, 452, 469?
You can find a detailed procedure to find GCD of 616, 928, 452, 469 on our page.
3. How to find GCD of 616, 928, 452, 469 on a calculator?
You can find the GCD of 616, 928, 452, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.