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 231, 287, 98, 757 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 287, 98, 757 is 1
GCD(231, 287, 98, 757) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 287, 98, 757 is 1
GCD(231, 287, 98, 757) = 1
Given Input numbers are 231, 287, 98, 757
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Greatest Common Divisior
We found the divisors of 231, 287, 98, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 287, 98, 757 is 1.
Therefore, GCD of numbers 231, 287, 98, 757 is 1
Given Input Data is 231, 287, 98, 757
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 287 is 7 x 41
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 757 is 757
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(231, 287) = 9471
GCD(231, 287) = ( 231 x 287 ) / 9471
GCD(231, 287) = 66297 / 9471
GCD(231, 287) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 98) = 98
GCD(7, 98) = ( 7 x 98 ) / 98
GCD(7, 98) = 686 / 98
GCD(7, 98) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 757) = 5299
GCD(7, 757) = ( 7 x 757 ) / 5299
GCD(7, 757) = 5299 / 5299
GCD(7, 757) = 1
GCD of 231, 287, 98, 757 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 287, 98, 757?
GCD of 231, 287, 98, 757 is 1
2. Where do I get the detailed procedure to find GCD of 231, 287, 98, 757?
You can find a detailed procedure to find GCD of 231, 287, 98, 757 on our page.
3. How to find GCD of 231, 287, 98, 757 on a calculator?
You can find the GCD of 231, 287, 98, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.