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 988, 561, 142, 391 i.e. 1 largest integer that divides all the numbers equally.
GCD of 988, 561, 142, 391 is 1
GCD(988, 561, 142, 391) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 988, 561, 142, 391 is 1
GCD(988, 561, 142, 391) = 1
Given Input numbers are 988, 561, 142, 391
To find the GCD of numbers using factoring list out all the divisors of each number
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 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Greatest Common Divisior
We found the divisors of 988, 561, 142, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 561, 142, 391 is 1.
Therefore, GCD of numbers 988, 561, 142, 391 is 1
Given Input Data is 988, 561, 142, 391
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 142 is 2 x 71
Prime Factorization of 391 is 17 x 23
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(988, 561) = 554268
GCD(988, 561) = ( 988 x 561 ) / 554268
GCD(988, 561) = 554268 / 554268
GCD(988, 561) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 391
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 391) = 391
GCD(1, 391) = ( 1 x 391 ) / 391
GCD(1, 391) = 391 / 391
GCD(1, 391) = 1
GCD of 988, 561, 142, 391 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 988, 561, 142, 391?
GCD of 988, 561, 142, 391 is 1
2. Where do I get the detailed procedure to find GCD of 988, 561, 142, 391?
You can find a detailed procedure to find GCD of 988, 561, 142, 391 on our page.
3. How to find GCD of 988, 561, 142, 391 on a calculator?
You can find the GCD of 988, 561, 142, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.