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 65, 715, 279, 345 i.e. 1 largest integer that divides all the numbers equally.
GCD of 65, 715, 279, 345 is 1
GCD(65, 715, 279, 345) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 715, 279, 345 is 1
GCD(65, 715, 279, 345) = 1
Given Input numbers are 65, 715, 279, 345
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Greatest Common Divisior
We found the divisors of 65, 715, 279, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 715, 279, 345 is 1.
Therefore, GCD of numbers 65, 715, 279, 345 is 1
Given Input Data is 65, 715, 279, 345
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 345 is 3 x 5 x 23
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(65, 715) = 715
GCD(65, 715) = ( 65 x 715 ) / 715
GCD(65, 715) = 46475 / 715
GCD(65, 715) = 65
Step2:
Here we consider the GCD from the above i.e. 65 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(65, 279) = 18135
GCD(65, 279) = ( 65 x 279 ) / 18135
GCD(65, 279) = 18135 / 18135
GCD(65, 279) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
GCD(1, 345) = 345 / 345
GCD(1, 345) = 1
GCD of 65, 715, 279, 345 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 65, 715, 279, 345?
GCD of 65, 715, 279, 345 is 1
2. Where do I get the detailed procedure to find GCD of 65, 715, 279, 345?
You can find a detailed procedure to find GCD of 65, 715, 279, 345 on our page.
3. How to find GCD of 65, 715, 279, 345 on a calculator?
You can find the GCD of 65, 715, 279, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.