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 855, 684, 20, 750 i.e. 1 largest integer that divides all the numbers equally.
GCD of 855, 684, 20, 750 is 1
GCD(855, 684, 20, 750) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 855, 684, 20, 750 is 1
GCD(855, 684, 20, 750) = 1
Given Input numbers are 855, 684, 20, 750
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Greatest Common Divisior
We found the divisors of 855, 684, 20, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 684, 20, 750 is 1.
Therefore, GCD of numbers 855, 684, 20, 750 is 1
Given Input Data is 855, 684, 20, 750
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
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(855, 684) = 3420
GCD(855, 684) = ( 855 x 684 ) / 3420
GCD(855, 684) = 584820 / 3420
GCD(855, 684) = 171
Step2:
Here we consider the GCD from the above i.e. 171 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(171, 20) = 3420
GCD(171, 20) = ( 171 x 20 ) / 3420
GCD(171, 20) = 3420 / 3420
GCD(171, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 750) = 750
GCD(1, 750) = ( 1 x 750 ) / 750
GCD(1, 750) = 750 / 750
GCD(1, 750) = 1
GCD of 855, 684, 20, 750 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 855, 684, 20, 750?
GCD of 855, 684, 20, 750 is 1
2. Where do I get the detailed procedure to find GCD of 855, 684, 20, 750?
You can find a detailed procedure to find GCD of 855, 684, 20, 750 on our page.
3. How to find GCD of 855, 684, 20, 750 on a calculator?
You can find the GCD of 855, 684, 20, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.