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 83, 280, 273, 726 i.e. 1 largest integer that divides all the numbers equally.
GCD of 83, 280, 273, 726 is 1
GCD(83, 280, 273, 726) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 83, 280, 273, 726 is 1
GCD(83, 280, 273, 726) = 1
Given Input numbers are 83, 280, 273, 726
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
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
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Greatest Common Divisior
We found the divisors of 83, 280, 273, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 280, 273, 726 is 1.
Therefore, GCD of numbers 83, 280, 273, 726 is 1
Given Input Data is 83, 280, 273, 726
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 83 is 83
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 726 is 2 x 3 x 11 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(83, 280) = 23240
GCD(83, 280) = ( 83 x 280 ) / 23240
GCD(83, 280) = 23240 / 23240
GCD(83, 280) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 273
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 273) = 273
GCD(1, 273) = ( 1 x 273 ) / 273
GCD(1, 273) = 273 / 273
GCD(1, 273) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 726
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 726) = 726
GCD(1, 726) = ( 1 x 726 ) / 726
GCD(1, 726) = 726 / 726
GCD(1, 726) = 1
GCD of 83, 280, 273, 726 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 83, 280, 273, 726?
GCD of 83, 280, 273, 726 is 1
2. Where do I get the detailed procedure to find GCD of 83, 280, 273, 726?
You can find a detailed procedure to find GCD of 83, 280, 273, 726 on our page.
3. How to find GCD of 83, 280, 273, 726 on a calculator?
You can find the GCD of 83, 280, 273, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.