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 546, 532, 531, 917 i.e. 1 largest integer that divides all the numbers equally.
GCD of 546, 532, 531, 917 is 1
GCD(546, 532, 531, 917) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 546, 532, 531, 917 is 1
GCD(546, 532, 531, 917) = 1
Given Input numbers are 546, 532, 531, 917
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Greatest Common Divisior
We found the divisors of 546, 532, 531, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 532, 531, 917 is 1.
Therefore, GCD of numbers 546, 532, 531, 917 is 1
Given Input Data is 546, 532, 531, 917
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 546 is 2 x 3 x 7 x 13
Prime Factorization of 532 is 2 x 2 x 7 x 19
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 917 is 7 x 131
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(546, 532) = 20748
GCD(546, 532) = ( 546 x 532 ) / 20748
GCD(546, 532) = 290472 / 20748
GCD(546, 532) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 531
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 531) = 7434
GCD(14, 531) = ( 14 x 531 ) / 7434
GCD(14, 531) = 7434 / 7434
GCD(14, 531) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 917
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 917) = 917
GCD(1, 917) = ( 1 x 917 ) / 917
GCD(1, 917) = 917 / 917
GCD(1, 917) = 1
GCD of 546, 532, 531, 917 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 546, 532, 531, 917?
GCD of 546, 532, 531, 917 is 1
2. Where do I get the detailed procedure to find GCD of 546, 532, 531, 917?
You can find a detailed procedure to find GCD of 546, 532, 531, 917 on our page.
3. How to find GCD of 546, 532, 531, 917 on a calculator?
You can find the GCD of 546, 532, 531, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.