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 462, 549, 272, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 462, 549, 272, 335 is 1
GCD(462, 549, 272, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 462, 549, 272, 335 is 1
GCD(462, 549, 272, 335) = 1
Given Input numbers are 462, 549, 272, 335
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Greatest Common Divisior
We found the divisors of 462, 549, 272, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 549, 272, 335 is 1.
Therefore, GCD of numbers 462, 549, 272, 335 is 1
Given Input Data is 462, 549, 272, 335
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 335 is 5 x 67
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(462, 549) = 84546
GCD(462, 549) = ( 462 x 549 ) / 84546
GCD(462, 549) = 253638 / 84546
GCD(462, 549) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 272) = 816
GCD(3, 272) = ( 3 x 272 ) / 816
GCD(3, 272) = 816 / 816
GCD(3, 272) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 335) = 335
GCD(1, 335) = ( 1 x 335 ) / 335
GCD(1, 335) = 335 / 335
GCD(1, 335) = 1
GCD of 462, 549, 272, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 462, 549, 272, 335?
GCD of 462, 549, 272, 335 is 1
2. Where do I get the detailed procedure to find GCD of 462, 549, 272, 335?
You can find a detailed procedure to find GCD of 462, 549, 272, 335 on our page.
3. How to find GCD of 462, 549, 272, 335 on a calculator?
You can find the GCD of 462, 549, 272, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.