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 294, 909, 98, 397 i.e. 1 largest integer that divides all the numbers equally.
GCD of 294, 909, 98, 397 is 1
GCD(294, 909, 98, 397) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 294, 909, 98, 397 is 1
GCD(294, 909, 98, 397) = 1
Given Input numbers are 294, 909, 98, 397
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Greatest Common Divisior
We found the divisors of 294, 909, 98, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 909, 98, 397 is 1.
Therefore, GCD of numbers 294, 909, 98, 397 is 1
Given Input Data is 294, 909, 98, 397
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 397 is 397
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(294, 909) = 89082
GCD(294, 909) = ( 294 x 909 ) / 89082
GCD(294, 909) = 267246 / 89082
GCD(294, 909) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 98) = 294
GCD(3, 98) = ( 3 x 98 ) / 294
GCD(3, 98) = 294 / 294
GCD(3, 98) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 397) = 397
GCD(1, 397) = ( 1 x 397 ) / 397
GCD(1, 397) = 397 / 397
GCD(1, 397) = 1
GCD of 294, 909, 98, 397 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 294, 909, 98, 397?
GCD of 294, 909, 98, 397 is 1
2. Where do I get the detailed procedure to find GCD of 294, 909, 98, 397?
You can find a detailed procedure to find GCD of 294, 909, 98, 397 on our page.
3. How to find GCD of 294, 909, 98, 397 on a calculator?
You can find the GCD of 294, 909, 98, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.