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 60, 280, 273, 391 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 280, 273, 391 is 1
GCD(60, 280, 273, 391) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 280, 273, 391 is 1
GCD(60, 280, 273, 391) = 1
Given Input numbers are 60, 280, 273, 391
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
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 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Greatest Common Divisior
We found the divisors of 60, 280, 273, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 280, 273, 391 is 1.
Therefore, GCD of numbers 60, 280, 273, 391 is 1
Given Input Data is 60, 280, 273, 391
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
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 391 is 17 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(60, 280) = 840
GCD(60, 280) = ( 60 x 280 ) / 840
GCD(60, 280) = 16800 / 840
GCD(60, 280) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 273
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 273) = 5460
GCD(20, 273) = ( 20 x 273 ) / 5460
GCD(20, 273) = 5460 / 5460
GCD(20, 273) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 391
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 391) = 391
GCD(1, 391) = ( 1 x 391 ) / 391
GCD(1, 391) = 391 / 391
GCD(1, 391) = 1
GCD of 60, 280, 273, 391 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 280, 273, 391?
GCD of 60, 280, 273, 391 is 1
2. Where do I get the detailed procedure to find GCD of 60, 280, 273, 391?
You can find a detailed procedure to find GCD of 60, 280, 273, 391 on our page.
3. How to find GCD of 60, 280, 273, 391 on a calculator?
You can find the GCD of 60, 280, 273, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.