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, 223, 284, 425 i.e. 1 largest integer that divides all the numbers equally.
GCD of 98, 223, 284, 425 is 1
GCD(98, 223, 284, 425) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 98, 223, 284, 425 is 1
GCD(98, 223, 284, 425) = 1
Given Input numbers are 98, 223, 284, 425
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 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Greatest Common Divisior
We found the divisors of 98, 223, 284, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 223, 284, 425 is 1.
Therefore, GCD of numbers 98, 223, 284, 425 is 1
Given Input Data is 98, 223, 284, 425
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 223 is 223
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 425 is 5 x 5 x 17
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, 223) = 21854
GCD(98, 223) = ( 98 x 223 ) / 21854
GCD(98, 223) = 21854 / 21854
GCD(98, 223) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 284) = 284
GCD(1, 284) = ( 1 x 284 ) / 284
GCD(1, 284) = 284 / 284
GCD(1, 284) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 425) = 425
GCD(1, 425) = ( 1 x 425 ) / 425
GCD(1, 425) = 425 / 425
GCD(1, 425) = 1
GCD of 98, 223, 284, 425 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 98, 223, 284, 425?
GCD of 98, 223, 284, 425 is 1
2. Where do I get the detailed procedure to find GCD of 98, 223, 284, 425?
You can find a detailed procedure to find GCD of 98, 223, 284, 425 on our page.
3. How to find GCD of 98, 223, 284, 425 on a calculator?
You can find the GCD of 98, 223, 284, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.