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 765, 690, 23, 130 i.e. 1 largest integer that divides all the numbers equally.
GCD of 765, 690, 23, 130 is 1
GCD(765, 690, 23, 130) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 765, 690, 23, 130 is 1
GCD(765, 690, 23, 130) = 1
Given Input numbers are 765, 690, 23, 130
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Greatest Common Divisior
We found the divisors of 765, 690, 23, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 690, 23, 130 is 1.
Therefore, GCD of numbers 765, 690, 23, 130 is 1
Given Input Data is 765, 690, 23, 130
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 23 is 23
Prime Factorization of 130 is 2 x 5 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(765, 690) = 35190
GCD(765, 690) = ( 765 x 690 ) / 35190
GCD(765, 690) = 527850 / 35190
GCD(765, 690) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 23) = 345
GCD(15, 23) = ( 15 x 23 ) / 345
GCD(15, 23) = 345 / 345
GCD(15, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
GCD(1, 130) = 130 / 130
GCD(1, 130) = 1
GCD of 765, 690, 23, 130 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 765, 690, 23, 130?
GCD of 765, 690, 23, 130 is 1
2. Where do I get the detailed procedure to find GCD of 765, 690, 23, 130?
You can find a detailed procedure to find GCD of 765, 690, 23, 130 on our page.
3. How to find GCD of 765, 690, 23, 130 on a calculator?
You can find the GCD of 765, 690, 23, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.