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 702, 589, 77, 845 i.e. 1 largest integer that divides all the numbers equally.
GCD of 702, 589, 77, 845 is 1
GCD(702, 589, 77, 845) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 702, 589, 77, 845 is 1
GCD(702, 589, 77, 845) = 1
Given Input numbers are 702, 589, 77, 845
To find the GCD of numbers using factoring list out all the divisors of each number
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 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Greatest Common Divisior
We found the divisors of 702, 589, 77, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 589, 77, 845 is 1.
Therefore, GCD of numbers 702, 589, 77, 845 is 1
Given Input Data is 702, 589, 77, 845
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 589 is 19 x 31
Prime Factorization of 77 is 7 x 11
Prime Factorization of 845 is 5 x 13 x 13
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(702, 589) = 413478
GCD(702, 589) = ( 702 x 589 ) / 413478
GCD(702, 589) = 413478 / 413478
GCD(702, 589) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 845
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 845) = 845
GCD(1, 845) = ( 1 x 845 ) / 845
GCD(1, 845) = 845 / 845
GCD(1, 845) = 1
GCD of 702, 589, 77, 845 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 702, 589, 77, 845?
GCD of 702, 589, 77, 845 is 1
2. Where do I get the detailed procedure to find GCD of 702, 589, 77, 845?
You can find a detailed procedure to find GCD of 702, 589, 77, 845 on our page.
3. How to find GCD of 702, 589, 77, 845 on a calculator?
You can find the GCD of 702, 589, 77, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.