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, 458, 723, 506 i.e. 1 largest integer that divides all the numbers equally.
GCD of 546, 458, 723, 506 is 1
GCD(546, 458, 723, 506) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 546, 458, 723, 506 is 1
GCD(546, 458, 723, 506) = 1
Given Input numbers are 546, 458, 723, 506
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 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Greatest Common Divisior
We found the divisors of 546, 458, 723, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 458, 723, 506 is 1.
Therefore, GCD of numbers 546, 458, 723, 506 is 1
Given Input Data is 546, 458, 723, 506
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 458 is 2 x 229
Prime Factorization of 723 is 3 x 241
Prime Factorization of 506 is 2 x 11 x 23
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, 458) = 125034
GCD(546, 458) = ( 546 x 458 ) / 125034
GCD(546, 458) = 250068 / 125034
GCD(546, 458) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 723
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 723) = 1446
GCD(2, 723) = ( 2 x 723 ) / 1446
GCD(2, 723) = 1446 / 1446
GCD(2, 723) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 506
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 506) = 506
GCD(1, 506) = ( 1 x 506 ) / 506
GCD(1, 506) = 506 / 506
GCD(1, 506) = 1
GCD of 546, 458, 723, 506 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 546, 458, 723, 506?
GCD of 546, 458, 723, 506 is 1
2. Where do I get the detailed procedure to find GCD of 546, 458, 723, 506?
You can find a detailed procedure to find GCD of 546, 458, 723, 506 on our page.
3. How to find GCD of 546, 458, 723, 506 on a calculator?
You can find the GCD of 546, 458, 723, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.