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, 101, 600, 636 i.e. 1 largest integer that divides all the numbers equally.
GCD of 616, 101, 600, 636 is 1
GCD(616, 101, 600, 636) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 616, 101, 600, 636 is 1
GCD(616, 101, 600, 636) = 1
Given Input numbers are 616, 101, 600, 636
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 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Greatest Common Divisior
We found the divisors of 616, 101, 600, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 101, 600, 636 is 1.
Therefore, GCD of numbers 616, 101, 600, 636 is 1
Given Input Data is 616, 101, 600, 636
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 101 is 101
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 636 is 2 x 2 x 3 x 53
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, 101) = 62216
GCD(616, 101) = ( 616 x 101 ) / 62216
GCD(616, 101) = 62216 / 62216
GCD(616, 101) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
GCD(1, 600) = 600 / 600
GCD(1, 600) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 636
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 636) = 636
GCD(1, 636) = ( 1 x 636 ) / 636
GCD(1, 636) = 636 / 636
GCD(1, 636) = 1
GCD of 616, 101, 600, 636 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 616, 101, 600, 636?
GCD of 616, 101, 600, 636 is 1
2. Where do I get the detailed procedure to find GCD of 616, 101, 600, 636?
You can find a detailed procedure to find GCD of 616, 101, 600, 636 on our page.
3. How to find GCD of 616, 101, 600, 636 on a calculator?
You can find the GCD of 616, 101, 600, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.