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 339, 767, 280 i.e. 1 largest integer that divides all the numbers equally.
GCD of 339, 767, 280 is 1
GCD(339, 767, 280) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 339, 767, 280 is 1
GCD(339, 767, 280) = 1
Given Input numbers are 339, 767, 280
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Greatest Common Divisior
We found the divisors of 339, 767, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 767, 280 is 1.
Therefore, GCD of numbers 339, 767, 280 is 1
Given Input Data is 339, 767, 280
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 339 is 3 x 113
Prime Factorization of 767 is 13 x 59
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
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(339, 767) = 260013
GCD(339, 767) = ( 339 x 767 ) / 260013
GCD(339, 767) = 260013 / 260013
GCD(339, 767) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
GCD(1, 280) = 280 / 280
GCD(1, 280) = 1
GCD of 339, 767, 280 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 339, 767, 280?
GCD of 339, 767, 280 is 1
2. Where do I get the detailed procedure to find GCD of 339, 767, 280?
You can find a detailed procedure to find GCD of 339, 767, 280 on our page.
3. How to find GCD of 339, 767, 280 on a calculator?
You can find the GCD of 339, 767, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.