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 31, 276, 267, 545 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 276, 267, 545 is 1
GCD(31, 276, 267, 545) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 276, 267, 545 is 1
GCD(31, 276, 267, 545) = 1
Given Input numbers are 31, 276, 267, 545
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Greatest Common Divisior
We found the divisors of 31, 276, 267, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 276, 267, 545 is 1.
Therefore, GCD of numbers 31, 276, 267, 545 is 1
Given Input Data is 31, 276, 267, 545
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 267 is 3 x 89
Prime Factorization of 545 is 5 x 109
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(31, 276) = 8556
GCD(31, 276) = ( 31 x 276 ) / 8556
GCD(31, 276) = 8556 / 8556
GCD(31, 276) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 267) = 267
GCD(1, 267) = ( 1 x 267 ) / 267
GCD(1, 267) = 267 / 267
GCD(1, 267) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 545) = 545
GCD(1, 545) = ( 1 x 545 ) / 545
GCD(1, 545) = 545 / 545
GCD(1, 545) = 1
GCD of 31, 276, 267, 545 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 276, 267, 545?
GCD of 31, 276, 267, 545 is 1
2. Where do I get the detailed procedure to find GCD of 31, 276, 267, 545?
You can find a detailed procedure to find GCD of 31, 276, 267, 545 on our page.
3. How to find GCD of 31, 276, 267, 545 on a calculator?
You can find the GCD of 31, 276, 267, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.