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 723, 630, 77, 885 i.e. 1 largest integer that divides all the numbers equally.
GCD of 723, 630, 77, 885 is 1
GCD(723, 630, 77, 885) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 723, 630, 77, 885 is 1
GCD(723, 630, 77, 885) = 1
Given Input numbers are 723, 630, 77, 885
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
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 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Greatest Common Divisior
We found the divisors of 723, 630, 77, 885 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 630, 77, 885 is 1.
Therefore, GCD of numbers 723, 630, 77, 885 is 1
Given Input Data is 723, 630, 77, 885
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 723 is 3 x 241
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 77 is 7 x 11
Prime Factorization of 885 is 3 x 5 x 59
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(723, 630) = 151830
GCD(723, 630) = ( 723 x 630 ) / 151830
GCD(723, 630) = 455490 / 151830
GCD(723, 630) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 77) = 231
GCD(3, 77) = ( 3 x 77 ) / 231
GCD(3, 77) = 231 / 231
GCD(3, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 885
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 885) = 885
GCD(1, 885) = ( 1 x 885 ) / 885
GCD(1, 885) = 885 / 885
GCD(1, 885) = 1
GCD of 723, 630, 77, 885 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 723, 630, 77, 885?
GCD of 723, 630, 77, 885 is 1
2. Where do I get the detailed procedure to find GCD of 723, 630, 77, 885?
You can find a detailed procedure to find GCD of 723, 630, 77, 885 on our page.
3. How to find GCD of 723, 630, 77, 885 on a calculator?
You can find the GCD of 723, 630, 77, 885 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.