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, 270, 889, 307 i.e. 1 largest integer that divides all the numbers equally.
GCD of 709, 270, 889, 307 is 1
GCD(709, 270, 889, 307) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 709, 270, 889, 307 is 1
GCD(709, 270, 889, 307) = 1
Given Input numbers are 709, 270, 889, 307
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 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Greatest Common Divisior
We found the divisors of 709, 270, 889, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 270, 889, 307 is 1.
Therefore, GCD of numbers 709, 270, 889, 307 is 1
Given Input Data is 709, 270, 889, 307
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 709 is 709
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 889 is 7 x 127
Prime Factorization of 307 is 307
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, 270) = 191430
GCD(709, 270) = ( 709 x 270 ) / 191430
GCD(709, 270) = 191430 / 191430
GCD(709, 270) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 889
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 889) = 889
GCD(1, 889) = ( 1 x 889 ) / 889
GCD(1, 889) = 889 / 889
GCD(1, 889) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 307) = 307
GCD(1, 307) = ( 1 x 307 ) / 307
GCD(1, 307) = 307 / 307
GCD(1, 307) = 1
GCD of 709, 270, 889, 307 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 709, 270, 889, 307?
GCD of 709, 270, 889, 307 is 1
2. Where do I get the detailed procedure to find GCD of 709, 270, 889, 307?
You can find a detailed procedure to find GCD of 709, 270, 889, 307 on our page.
3. How to find GCD of 709, 270, 889, 307 on a calculator?
You can find the GCD of 709, 270, 889, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.