GCD of 298, 420, 605 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 298, 420, 605 i.e. 1 largest integer that divides all the numbers equally.
GCD of 298, 420, 605 is 1
GCD(298, 420, 605) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 298, 420, 605 is 1
GCD(298, 420, 605) = 1
GCDof 298,420,605 is 1
Given Input numbers are 298, 420, 605
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Greatest Common Divisior
We found the divisors of 298, 420, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 420, 605 is 1.
Therefore, GCD of numbers 298, 420, 605 is 1
Given Input Data is 298, 420, 605
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 298 is 2 x 149
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 605 is 5 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 298, 420, 605 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(298, 420) = 62580
GCD(298, 420) = ( 298 x 420 ) / 62580
GCD(298, 420) = 125160 / 62580
GCD(298, 420) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 605
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 605) = 1210
GCD(2, 605) = ( 2 x 605 ) / 1210
GCD(2, 605) = 1210 / 1210
GCD(2, 605) = 1
GCD of 298, 420, 605 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 298, 420, 605
1. What is the GCD of 298, 420, 605?
GCD of 298, 420, 605 is 1
2. Where do I get the detailed procedure to find GCD of 298, 420, 605?
You can find a detailed procedure to find GCD of 298, 420, 605 on our page.
3. How to find GCD of 298, 420, 605 on a calculator?
You can find the GCD of 298, 420, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.