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 141, 462, 299 i.e. 1 largest integer that divides all the numbers equally.
GCD of 141, 462, 299 is 1
GCD(141, 462, 299) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 141, 462, 299 is 1
GCD(141, 462, 299) = 1
Given Input numbers are 141, 462, 299
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
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 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Greatest Common Divisior
We found the divisors of 141, 462, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 462, 299 is 1.
Therefore, GCD of numbers 141, 462, 299 is 1
Given Input Data is 141, 462, 299
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 141 is 3 x 47
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 299 is 13 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(141, 462) = 21714
GCD(141, 462) = ( 141 x 462 ) / 21714
GCD(141, 462) = 65142 / 21714
GCD(141, 462) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 299) = 897
GCD(3, 299) = ( 3 x 299 ) / 897
GCD(3, 299) = 897 / 897
GCD(3, 299) = 1
GCD of 141, 462, 299 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 141, 462, 299?
GCD of 141, 462, 299 is 1
2. Where do I get the detailed procedure to find GCD of 141, 462, 299?
You can find a detailed procedure to find GCD of 141, 462, 299 on our page.
3. How to find GCD of 141, 462, 299 on a calculator?
You can find the GCD of 141, 462, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.