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 288, 130, 98, 247 i.e. 1 largest integer that divides all the numbers equally.
GCD of 288, 130, 98, 247 is 1
GCD(288, 130, 98, 247) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 288, 130, 98, 247 is 1
GCD(288, 130, 98, 247) = 1
Given Input numbers are 288, 130, 98, 247
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 247
List of positive integer divisors of 247 that divides 247 without a remainder.
1, 13, 19, 247
Greatest Common Divisior
We found the divisors of 288, 130, 98, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 130, 98, 247 is 1.
Therefore, GCD of numbers 288, 130, 98, 247 is 1
Given Input Data is 288, 130, 98, 247
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 247 is 13 x 19
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(288, 130) = 18720
GCD(288, 130) = ( 288 x 130 ) / 18720
GCD(288, 130) = 37440 / 18720
GCD(288, 130) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 98) = 98
GCD(2, 98) = ( 2 x 98 ) / 98
GCD(2, 98) = 196 / 98
GCD(2, 98) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 247
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 247) = 494
GCD(2, 247) = ( 2 x 247 ) / 494
GCD(2, 247) = 494 / 494
GCD(2, 247) = 1
GCD of 288, 130, 98, 247 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 288, 130, 98, 247?
GCD of 288, 130, 98, 247 is 1
2. Where do I get the detailed procedure to find GCD of 288, 130, 98, 247?
You can find a detailed procedure to find GCD of 288, 130, 98, 247 on our page.
3. How to find GCD of 288, 130, 98, 247 on a calculator?
You can find the GCD of 288, 130, 98, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.