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, 508, 368, 593 i.e. 1 largest integer that divides all the numbers equally.
GCD of 546, 508, 368, 593 is 1
GCD(546, 508, 368, 593) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 546, 508, 368, 593 is 1
GCD(546, 508, 368, 593) = 1
Given Input numbers are 546, 508, 368, 593
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 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 593
List of positive integer divisors of 593 that divides 593 without a remainder.
1, 593
Greatest Common Divisior
We found the divisors of 546, 508, 368, 593 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 508, 368, 593 is 1.
Therefore, GCD of numbers 546, 508, 368, 593 is 1
Given Input Data is 546, 508, 368, 593
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 508 is 2 x 2 x 127
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 593 is 593
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, 508) = 138684
GCD(546, 508) = ( 546 x 508 ) / 138684
GCD(546, 508) = 277368 / 138684
GCD(546, 508) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 368) = 368
GCD(2, 368) = ( 2 x 368 ) / 368
GCD(2, 368) = 736 / 368
GCD(2, 368) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 593
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 593) = 1186
GCD(2, 593) = ( 2 x 593 ) / 1186
GCD(2, 593) = 1186 / 1186
GCD(2, 593) = 1
GCD of 546, 508, 368, 593 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 546, 508, 368, 593?
GCD of 546, 508, 368, 593 is 1
2. Where do I get the detailed procedure to find GCD of 546, 508, 368, 593?
You can find a detailed procedure to find GCD of 546, 508, 368, 593 on our page.
3. How to find GCD of 546, 508, 368, 593 on a calculator?
You can find the GCD of 546, 508, 368, 593 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.