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 902, 615, 630, 689 i.e. 1 largest integer that divides all the numbers equally.
GCD of 902, 615, 630, 689 is 1
GCD(902, 615, 630, 689) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 902, 615, 630, 689 is 1
GCD(902, 615, 630, 689) = 1
Given Input numbers are 902, 615, 630, 689
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
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 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Greatest Common Divisior
We found the divisors of 902, 615, 630, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 615, 630, 689 is 1.
Therefore, GCD of numbers 902, 615, 630, 689 is 1
Given Input Data is 902, 615, 630, 689
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 689 is 13 x 53
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(902, 615) = 13530
GCD(902, 615) = ( 902 x 615 ) / 13530
GCD(902, 615) = 554730 / 13530
GCD(902, 615) = 41
Step2:
Here we consider the GCD from the above i.e. 41 as first number and the next as 630
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(41, 630) = 25830
GCD(41, 630) = ( 41 x 630 ) / 25830
GCD(41, 630) = 25830 / 25830
GCD(41, 630) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
GCD(1, 689) = 689 / 689
GCD(1, 689) = 1
GCD of 902, 615, 630, 689 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 902, 615, 630, 689?
GCD of 902, 615, 630, 689 is 1
2. Where do I get the detailed procedure to find GCD of 902, 615, 630, 689?
You can find a detailed procedure to find GCD of 902, 615, 630, 689 on our page.
3. How to find GCD of 902, 615, 630, 689 on a calculator?
You can find the GCD of 902, 615, 630, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.