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 630, 702, 40, 879 i.e. 1 largest integer that divides all the numbers equally.
GCD of 630, 702, 40, 879 is 1
GCD(630, 702, 40, 879) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 630, 702, 40, 879 is 1
GCD(630, 702, 40, 879) = 1
Given Input numbers are 630, 702, 40, 879
To find the GCD of numbers using factoring list out all the divisors of each number
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 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Greatest Common Divisior
We found the divisors of 630, 702, 40, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 702, 40, 879 is 1.
Therefore, GCD of numbers 630, 702, 40, 879 is 1
Given Input Data is 630, 702, 40, 879
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 879 is 3 x 293
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(630, 702) = 24570
GCD(630, 702) = ( 630 x 702 ) / 24570
GCD(630, 702) = 442260 / 24570
GCD(630, 702) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 40) = 360
GCD(18, 40) = ( 18 x 40 ) / 360
GCD(18, 40) = 720 / 360
GCD(18, 40) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 879
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 879) = 1758
GCD(2, 879) = ( 2 x 879 ) / 1758
GCD(2, 879) = 1758 / 1758
GCD(2, 879) = 1
GCD of 630, 702, 40, 879 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 630, 702, 40, 879?
GCD of 630, 702, 40, 879 is 1
2. Where do I get the detailed procedure to find GCD of 630, 702, 40, 879?
You can find a detailed procedure to find GCD of 630, 702, 40, 879 on our page.
3. How to find GCD of 630, 702, 40, 879 on a calculator?
You can find the GCD of 630, 702, 40, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.