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 461, 708, 642, 729 i.e. 1 largest integer that divides all the numbers equally.
GCD of 461, 708, 642, 729 is 1
GCD(461, 708, 642, 729) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 461, 708, 642, 729 is 1
GCD(461, 708, 642, 729) = 1
Given Input numbers are 461, 708, 642, 729
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Greatest Common Divisior
We found the divisors of 461, 708, 642, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 708, 642, 729 is 1.
Therefore, GCD of numbers 461, 708, 642, 729 is 1
Given Input Data is 461, 708, 642, 729
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 461 is 461
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
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(461, 708) = 326388
GCD(461, 708) = ( 461 x 708 ) / 326388
GCD(461, 708) = 326388 / 326388
GCD(461, 708) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 642
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 642) = 642
GCD(1, 642) = ( 1 x 642 ) / 642
GCD(1, 642) = 642 / 642
GCD(1, 642) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
GCD(1, 729) = 729 / 729
GCD(1, 729) = 1
GCD of 461, 708, 642, 729 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 461, 708, 642, 729?
GCD of 461, 708, 642, 729 is 1
2. Where do I get the detailed procedure to find GCD of 461, 708, 642, 729?
You can find a detailed procedure to find GCD of 461, 708, 642, 729 on our page.
3. How to find GCD of 461, 708, 642, 729 on a calculator?
You can find the GCD of 461, 708, 642, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.