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 29, 437, 390, 546 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 437, 390, 546 is 1
GCD(29, 437, 390, 546) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 437, 390, 546 is 1
GCD(29, 437, 390, 546) = 1
Given Input numbers are 29, 437, 390, 546
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
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
Greatest Common Divisior
We found the divisors of 29, 437, 390, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 437, 390, 546 is 1.
Therefore, GCD of numbers 29, 437, 390, 546 is 1
Given Input Data is 29, 437, 390, 546
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 437 is 19 x 23
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 546 is 2 x 3 x 7 x 13
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(29, 437) = 12673
GCD(29, 437) = ( 29 x 437 ) / 12673
GCD(29, 437) = 12673 / 12673
GCD(29, 437) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
GCD(1, 390) = 390 / 390
GCD(1, 390) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 546
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 546) = 546
GCD(1, 546) = ( 1 x 546 ) / 546
GCD(1, 546) = 546 / 546
GCD(1, 546) = 1
GCD of 29, 437, 390, 546 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 437, 390, 546?
GCD of 29, 437, 390, 546 is 1
2. Where do I get the detailed procedure to find GCD of 29, 437, 390, 546?
You can find a detailed procedure to find GCD of 29, 437, 390, 546 on our page.
3. How to find GCD of 29, 437, 390, 546 on a calculator?
You can find the GCD of 29, 437, 390, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.