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 15, 687, 573, 616 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 687, 573, 616 is 1
GCD(15, 687, 573, 616) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 687, 573, 616 is 1
GCD(15, 687, 573, 616) = 1
Given Input numbers are 15, 687, 573, 616
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
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
Greatest Common Divisior
We found the divisors of 15, 687, 573, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 687, 573, 616 is 1.
Therefore, GCD of numbers 15, 687, 573, 616 is 1
Given Input Data is 15, 687, 573, 616
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 687 is 3 x 229
Prime Factorization of 573 is 3 x 191
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
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(15, 687) = 3435
GCD(15, 687) = ( 15 x 687 ) / 3435
GCD(15, 687) = 10305 / 3435
GCD(15, 687) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 573
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 573) = 573
GCD(3, 573) = ( 3 x 573 ) / 573
GCD(3, 573) = 1719 / 573
GCD(3, 573) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 616) = 1848
GCD(3, 616) = ( 3 x 616 ) / 1848
GCD(3, 616) = 1848 / 1848
GCD(3, 616) = 1
GCD of 15, 687, 573, 616 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 687, 573, 616?
GCD of 15, 687, 573, 616 is 1
2. Where do I get the detailed procedure to find GCD of 15, 687, 573, 616?
You can find a detailed procedure to find GCD of 15, 687, 573, 616 on our page.
3. How to find GCD of 15, 687, 573, 616 on a calculator?
You can find the GCD of 15, 687, 573, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.