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 709, 930, 627, 689 i.e. 1 largest integer that divides all the numbers equally.
GCD of 709, 930, 627, 689 is 1
GCD(709, 930, 627, 689) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 709, 930, 627, 689 is 1
GCD(709, 930, 627, 689) = 1
Given Input numbers are 709, 930, 627, 689
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 627
List of positive integer divisors of 627 that divides 627 without a remainder.
1, 3, 11, 19, 33, 57, 209, 627
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 709, 930, 627, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 930, 627, 689 is 1.
Therefore, GCD of numbers 709, 930, 627, 689 is 1
Given Input Data is 709, 930, 627, 689
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 709 is 709
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 627 is 3 x 11 x 19
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(709, 930) = 659370
GCD(709, 930) = ( 709 x 930 ) / 659370
GCD(709, 930) = 659370 / 659370
GCD(709, 930) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 627
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 627) = 627
GCD(1, 627) = ( 1 x 627 ) / 627
GCD(1, 627) = 627 / 627
GCD(1, 627) = 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 709, 930, 627, 689 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 709, 930, 627, 689?
GCD of 709, 930, 627, 689 is 1
2. Where do I get the detailed procedure to find GCD of 709, 930, 627, 689?
You can find a detailed procedure to find GCD of 709, 930, 627, 689 on our page.
3. How to find GCD of 709, 930, 627, 689 on a calculator?
You can find the GCD of 709, 930, 627, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.