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 280, 771, 591, 143 i.e. 1 largest integer that divides all the numbers equally.
GCD of 280, 771, 591, 143 is 1
GCD(280, 771, 591, 143) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 280, 771, 591, 143 is 1
GCD(280, 771, 591, 143) = 1
Given Input numbers are 280, 771, 591, 143
To find the GCD of numbers using factoring list out all the divisors of each number
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 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Greatest Common Divisior
We found the divisors of 280, 771, 591, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 771, 591, 143 is 1.
Therefore, GCD of numbers 280, 771, 591, 143 is 1
Given Input Data is 280, 771, 591, 143
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 771 is 3 x 257
Prime Factorization of 591 is 3 x 197
Prime Factorization of 143 is 11 x 13
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(280, 771) = 215880
GCD(280, 771) = ( 280 x 771 ) / 215880
GCD(280, 771) = 215880 / 215880
GCD(280, 771) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 591
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 591) = 591
GCD(1, 591) = ( 1 x 591 ) / 591
GCD(1, 591) = 591 / 591
GCD(1, 591) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 143) = 143
GCD(1, 143) = ( 1 x 143 ) / 143
GCD(1, 143) = 143 / 143
GCD(1, 143) = 1
GCD of 280, 771, 591, 143 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 280, 771, 591, 143?
GCD of 280, 771, 591, 143 is 1
2. Where do I get the detailed procedure to find GCD of 280, 771, 591, 143?
You can find a detailed procedure to find GCD of 280, 771, 591, 143 on our page.
3. How to find GCD of 280, 771, 591, 143 on a calculator?
You can find the GCD of 280, 771, 591, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.