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, 693, 630, 427 i.e. 1 largest integer that divides all the numbers equally.
GCD of 855, 693, 630, 427 is 1
GCD(855, 693, 630, 427) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 855, 693, 630, 427 is 1
GCD(855, 693, 630, 427) = 1
Given Input numbers are 855, 693, 630, 427
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 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Greatest Common Divisior
We found the divisors of 855, 693, 630, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 693, 630, 427 is 1.
Therefore, GCD of numbers 855, 693, 630, 427 is 1
Given Input Data is 855, 693, 630, 427
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 693 is 3 x 3 x 7 x 11
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 427 is 7 x 61
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, 693) = 65835
GCD(855, 693) = ( 855 x 693 ) / 65835
GCD(855, 693) = 592515 / 65835
GCD(855, 693) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 630
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 630) = 630
GCD(9, 630) = ( 9 x 630 ) / 630
GCD(9, 630) = 5670 / 630
GCD(9, 630) = 9
Step3:
Here we consider the GCD from the above i.e. 9 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 427) = 3843
GCD(9, 427) = ( 9 x 427 ) / 3843
GCD(9, 427) = 3843 / 3843
GCD(9, 427) = 1
GCD of 855, 693, 630, 427 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 855, 693, 630, 427?
GCD of 855, 693, 630, 427 is 1
2. Where do I get the detailed procedure to find GCD of 855, 693, 630, 427?
You can find a detailed procedure to find GCD of 855, 693, 630, 427 on our page.
3. How to find GCD of 855, 693, 630, 427 on a calculator?
You can find the GCD of 855, 693, 630, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.