GCD of 721, 462, 238 Calculator
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 721, 462, 238 i.e. 7 largest integer that divides all the numbers equally.
GCD of 721, 462, 238 is 7
GCD(721, 462, 238) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 462, 238 is 7
GCD(721, 462, 238) = 7
GCDof 721,462,238 is 7
Given Input numbers are 721, 462, 238
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
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 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Greatest Common Divisior
We found the divisors of 721, 462, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 462, 238 is 7.
Therefore, GCD of numbers 721, 462, 238 is 7
Given Input Data is 721, 462, 238
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 238 is 2 x 7 x 17
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
Finding GCD of 721, 462, 238 using LCM Formula
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(721, 462) = 47586
GCD(721, 462) = ( 721 x 462 ) / 47586
GCD(721, 462) = 333102 / 47586
GCD(721, 462) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 238) = 238
GCD(7, 238) = ( 7 x 238 ) / 238
GCD(7, 238) = 1666 / 238
GCD(7, 238) = 7
GCD of 721, 462, 238 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 721, 462, 238
1. What is the GCD of 721, 462, 238?
GCD of 721, 462, 238 is 7
2. Where do I get the detailed procedure to find GCD of 721, 462, 238?
You can find a detailed procedure to find GCD of 721, 462, 238 on our page.
3. How to find GCD of 721, 462, 238 on a calculator?
You can find the GCD of 721, 462, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.