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 759, 902, 11, 710 i.e. 1 largest integer that divides all the numbers equally.
GCD of 759, 902, 11, 710 is 1
GCD(759, 902, 11, 710) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 759, 902, 11, 710 is 1
GCD(759, 902, 11, 710) = 1
Given Input numbers are 759, 902, 11, 710
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
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 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Greatest Common Divisior
We found the divisors of 759, 902, 11, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 902, 11, 710 is 1.
Therefore, GCD of numbers 759, 902, 11, 710 is 1
Given Input Data is 759, 902, 11, 710
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 11 is 11
Prime Factorization of 710 is 2 x 5 x 71
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(759, 902) = 62238
GCD(759, 902) = ( 759 x 902 ) / 62238
GCD(759, 902) = 684618 / 62238
GCD(759, 902) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 11) = 11
GCD(11, 11) = ( 11 x 11 ) / 11
GCD(11, 11) = 121 / 11
GCD(11, 11) = 11
Step3:
Here we consider the GCD from the above i.e. 11 as first number and the next as 710
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 710) = 7810
GCD(11, 710) = ( 11 x 710 ) / 7810
GCD(11, 710) = 7810 / 7810
GCD(11, 710) = 1
GCD of 759, 902, 11, 710 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 759, 902, 11, 710?
GCD of 759, 902, 11, 710 is 1
2. Where do I get the detailed procedure to find GCD of 759, 902, 11, 710?
You can find a detailed procedure to find GCD of 759, 902, 11, 710 on our page.
3. How to find GCD of 759, 902, 11, 710 on a calculator?
You can find the GCD of 759, 902, 11, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.