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 260, 369, 29, 765 i.e. 1 largest integer that divides all the numbers equally.
GCD of 260, 369, 29, 765 is 1
GCD(260, 369, 29, 765) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 260, 369, 29, 765 is 1
GCD(260, 369, 29, 765) = 1
Given Input numbers are 260, 369, 29, 765
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
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
Greatest Common Divisior
We found the divisors of 260, 369, 29, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 369, 29, 765 is 1.
Therefore, GCD of numbers 260, 369, 29, 765 is 1
Given Input Data is 260, 369, 29, 765
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 29 is 29
Prime Factorization of 765 is 3 x 3 x 5 x 17
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(260, 369) = 95940
GCD(260, 369) = ( 260 x 369 ) / 95940
GCD(260, 369) = 95940 / 95940
GCD(260, 369) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 29) = 29
GCD(1, 29) = ( 1 x 29 ) / 29
GCD(1, 29) = 29 / 29
GCD(1, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
GCD(1, 765) = 765 / 765
GCD(1, 765) = 1
GCD of 260, 369, 29, 765 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 260, 369, 29, 765?
GCD of 260, 369, 29, 765 is 1
2. Where do I get the detailed procedure to find GCD of 260, 369, 29, 765?
You can find a detailed procedure to find GCD of 260, 369, 29, 765 on our page.
3. How to find GCD of 260, 369, 29, 765 on a calculator?
You can find the GCD of 260, 369, 29, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.