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 826, 630, 665, 724 i.e. 1 largest integer that divides all the numbers equally.
GCD of 826, 630, 665, 724 is 1
GCD(826, 630, 665, 724) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 826, 630, 665, 724 is 1
GCD(826, 630, 665, 724) = 1
Given Input numbers are 826, 630, 665, 724
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
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 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Greatest Common Divisior
We found the divisors of 826, 630, 665, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 630, 665, 724 is 1.
Therefore, GCD of numbers 826, 630, 665, 724 is 1
Given Input Data is 826, 630, 665, 724
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 665 is 5 x 7 x 19
Prime Factorization of 724 is 2 x 2 x 181
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(826, 630) = 37170
GCD(826, 630) = ( 826 x 630 ) / 37170
GCD(826, 630) = 520380 / 37170
GCD(826, 630) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 665
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 665) = 1330
GCD(14, 665) = ( 14 x 665 ) / 1330
GCD(14, 665) = 9310 / 1330
GCD(14, 665) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 724
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 724) = 5068
GCD(7, 724) = ( 7 x 724 ) / 5068
GCD(7, 724) = 5068 / 5068
GCD(7, 724) = 1
GCD of 826, 630, 665, 724 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 826, 630, 665, 724?
GCD of 826, 630, 665, 724 is 1
2. Where do I get the detailed procedure to find GCD of 826, 630, 665, 724?
You can find a detailed procedure to find GCD of 826, 630, 665, 724 on our page.
3. How to find GCD of 826, 630, 665, 724 on a calculator?
You can find the GCD of 826, 630, 665, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.