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 98, 612, 446, 245 i.e. 1 largest integer that divides all the numbers equally.
GCD of 98, 612, 446, 245 is 1
GCD(98, 612, 446, 245) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 98, 612, 446, 245 is 1
GCD(98, 612, 446, 245) = 1
Given Input numbers are 98, 612, 446, 245
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Greatest Common Divisior
We found the divisors of 98, 612, 446, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 612, 446, 245 is 1.
Therefore, GCD of numbers 98, 612, 446, 245 is 1
Given Input Data is 98, 612, 446, 245
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 446 is 2 x 223
Prime Factorization of 245 is 5 x 7 x 7
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(98, 612) = 29988
GCD(98, 612) = ( 98 x 612 ) / 29988
GCD(98, 612) = 59976 / 29988
GCD(98, 612) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 446
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 446) = 446
GCD(2, 446) = ( 2 x 446 ) / 446
GCD(2, 446) = 892 / 446
GCD(2, 446) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 245) = 490
GCD(2, 245) = ( 2 x 245 ) / 490
GCD(2, 245) = 490 / 490
GCD(2, 245) = 1
GCD of 98, 612, 446, 245 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 98, 612, 446, 245?
GCD of 98, 612, 446, 245 is 1
2. Where do I get the detailed procedure to find GCD of 98, 612, 446, 245?
You can find a detailed procedure to find GCD of 98, 612, 446, 245 on our page.
3. How to find GCD of 98, 612, 446, 245 on a calculator?
You can find the GCD of 98, 612, 446, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.