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 531, 177, 26, 280 i.e. 1 largest integer that divides all the numbers equally.
GCD of 531, 177, 26, 280 is 1
GCD(531, 177, 26, 280) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 531, 177, 26, 280 is 1
GCD(531, 177, 26, 280) = 1
Given Input numbers are 531, 177, 26, 280
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
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 531, 177, 26, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 177, 26, 280 is 1.
Therefore, GCD of numbers 531, 177, 26, 280 is 1
Given Input Data is 531, 177, 26, 280
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 177 is 3 x 59
Prime Factorization of 26 is 2 x 13
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(531, 177) = 531
GCD(531, 177) = ( 531 x 177 ) / 531
GCD(531, 177) = 93987 / 531
GCD(531, 177) = 177
Step2:
Here we consider the GCD from the above i.e. 177 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(177, 26) = 4602
GCD(177, 26) = ( 177 x 26 ) / 4602
GCD(177, 26) = 4602 / 4602
GCD(177, 26) = 1
Step3:
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 531, 177, 26, 280 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 531, 177, 26, 280?
GCD of 531, 177, 26, 280 is 1
2. Where do I get the detailed procedure to find GCD of 531, 177, 26, 280?
You can find a detailed procedure to find GCD of 531, 177, 26, 280 on our page.
3. How to find GCD of 531, 177, 26, 280 on a calculator?
You can find the GCD of 531, 177, 26, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.