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, 572, 41, 215 i.e. 1 largest integer that divides all the numbers equally.
GCD of 616, 572, 41, 215 is 1
GCD(616, 572, 41, 215) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 616, 572, 41, 215 is 1
GCD(616, 572, 41, 215) = 1
Given Input numbers are 616, 572, 41, 215
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 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Greatest Common Divisior
We found the divisors of 616, 572, 41, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 572, 41, 215 is 1.
Therefore, GCD of numbers 616, 572, 41, 215 is 1
Given Input Data is 616, 572, 41, 215
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 572 is 2 x 2 x 11 x 13
Prime Factorization of 41 is 41
Prime Factorization of 215 is 5 x 43
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, 572) = 8008
GCD(616, 572) = ( 616 x 572 ) / 8008
GCD(616, 572) = 352352 / 8008
GCD(616, 572) = 44
Step2:
Here we consider the GCD from the above i.e. 44 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(44, 41) = 1804
GCD(44, 41) = ( 44 x 41 ) / 1804
GCD(44, 41) = 1804 / 1804
GCD(44, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 215
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 215) = 215
GCD(1, 215) = ( 1 x 215 ) / 215
GCD(1, 215) = 215 / 215
GCD(1, 215) = 1
GCD of 616, 572, 41, 215 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 616, 572, 41, 215?
GCD of 616, 572, 41, 215 is 1
2. Where do I get the detailed procedure to find GCD of 616, 572, 41, 215?
You can find a detailed procedure to find GCD of 616, 572, 41, 215 on our page.
3. How to find GCD of 616, 572, 41, 215 on a calculator?
You can find the GCD of 616, 572, 41, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.