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 69, 710, 289, 673 i.e. 1 largest integer that divides all the numbers equally.
GCD of 69, 710, 289, 673 is 1
GCD(69, 710, 289, 673) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 69, 710, 289, 673 is 1
GCD(69, 710, 289, 673) = 1
Given Input numbers are 69, 710, 289, 673
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 673
List of positive integer divisors of 673 that divides 673 without a remainder.
1, 673
Greatest Common Divisior
We found the divisors of 69, 710, 289, 673 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 710, 289, 673 is 1.
Therefore, GCD of numbers 69, 710, 289, 673 is 1
Given Input Data is 69, 710, 289, 673
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 69 is 3 x 23
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 289 is 17 x 17
Prime Factorization of 673 is 673
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(69, 710) = 48990
GCD(69, 710) = ( 69 x 710 ) / 48990
GCD(69, 710) = 48990 / 48990
GCD(69, 710) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 673
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 673) = 673
GCD(1, 673) = ( 1 x 673 ) / 673
GCD(1, 673) = 673 / 673
GCD(1, 673) = 1
GCD of 69, 710, 289, 673 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 69, 710, 289, 673?
GCD of 69, 710, 289, 673 is 1
2. Where do I get the detailed procedure to find GCD of 69, 710, 289, 673?
You can find a detailed procedure to find GCD of 69, 710, 289, 673 on our page.
3. How to find GCD of 69, 710, 289, 673 on a calculator?
You can find the GCD of 69, 710, 289, 673 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.