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 282, 401, 988, 307 i.e. 1 largest integer that divides all the numbers equally.
GCD of 282, 401, 988, 307 is 1
GCD(282, 401, 988, 307) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 282, 401, 988, 307 is 1
GCD(282, 401, 988, 307) = 1
Given Input numbers are 282, 401, 988, 307
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Greatest Common Divisior
We found the divisors of 282, 401, 988, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 401, 988, 307 is 1.
Therefore, GCD of numbers 282, 401, 988, 307 is 1
Given Input Data is 282, 401, 988, 307
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 282 is 2 x 3 x 47
Prime Factorization of 401 is 401
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 307 is 307
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(282, 401) = 113082
GCD(282, 401) = ( 282 x 401 ) / 113082
GCD(282, 401) = 113082 / 113082
GCD(282, 401) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 988
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 988) = 988
GCD(1, 988) = ( 1 x 988 ) / 988
GCD(1, 988) = 988 / 988
GCD(1, 988) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 307) = 307
GCD(1, 307) = ( 1 x 307 ) / 307
GCD(1, 307) = 307 / 307
GCD(1, 307) = 1
GCD of 282, 401, 988, 307 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 282, 401, 988, 307?
GCD of 282, 401, 988, 307 is 1
2. Where do I get the detailed procedure to find GCD of 282, 401, 988, 307?
You can find a detailed procedure to find GCD of 282, 401, 988, 307 on our page.
3. How to find GCD of 282, 401, 988, 307 on a calculator?
You can find the GCD of 282, 401, 988, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.