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, 245, 463, 610 i.e. 1 largest integer that divides all the numbers equally.
GCD of 298, 245, 463, 610 is 1
GCD(298, 245, 463, 610) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 298, 245, 463, 610 is 1
GCD(298, 245, 463, 610) = 1
Given Input numbers are 298, 245, 463, 610
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 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Greatest Common Divisior
We found the divisors of 298, 245, 463, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 245, 463, 610 is 1.
Therefore, GCD of numbers 298, 245, 463, 610 is 1
Given Input Data is 298, 245, 463, 610
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 298 is 2 x 149
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 463 is 463
Prime Factorization of 610 is 2 x 5 x 61
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(298, 245) = 73010
GCD(298, 245) = ( 298 x 245 ) / 73010
GCD(298, 245) = 73010 / 73010
GCD(298, 245) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 463
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 463) = 463
GCD(1, 463) = ( 1 x 463 ) / 463
GCD(1, 463) = 463 / 463
GCD(1, 463) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 610
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 610) = 610
GCD(1, 610) = ( 1 x 610 ) / 610
GCD(1, 610) = 610 / 610
GCD(1, 610) = 1
GCD of 298, 245, 463, 610 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 298, 245, 463, 610?
GCD of 298, 245, 463, 610 is 1
2. Where do I get the detailed procedure to find GCD of 298, 245, 463, 610?
You can find a detailed procedure to find GCD of 298, 245, 463, 610 on our page.
3. How to find GCD of 298, 245, 463, 610 on a calculator?
You can find the GCD of 298, 245, 463, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.