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 13, 390, 265, 770 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 390, 265, 770 is 1
GCD(13, 390, 265, 770) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 390, 265, 770 is 1
GCD(13, 390, 265, 770) = 1
Given Input numbers are 13, 390, 265, 770
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Greatest Common Divisior
We found the divisors of 13, 390, 265, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 390, 265, 770 is 1.
Therefore, GCD of numbers 13, 390, 265, 770 is 1
Given Input Data is 13, 390, 265, 770
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 265 is 5 x 53
Prime Factorization of 770 is 2 x 5 x 7 x 11
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(13, 390) = 390
GCD(13, 390) = ( 13 x 390 ) / 390
GCD(13, 390) = 5070 / 390
GCD(13, 390) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 265
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 265) = 3445
GCD(13, 265) = ( 13 x 265 ) / 3445
GCD(13, 265) = 3445 / 3445
GCD(13, 265) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 770) = 770
GCD(1, 770) = ( 1 x 770 ) / 770
GCD(1, 770) = 770 / 770
GCD(1, 770) = 1
GCD of 13, 390, 265, 770 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 390, 265, 770?
GCD of 13, 390, 265, 770 is 1
2. Where do I get the detailed procedure to find GCD of 13, 390, 265, 770?
You can find a detailed procedure to find GCD of 13, 390, 265, 770 on our page.
3. How to find GCD of 13, 390, 265, 770 on a calculator?
You can find the GCD of 13, 390, 265, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.