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, 189, 702, 111 i.e. 1 largest integer that divides all the numbers equally.
GCD of 988, 189, 702, 111 is 1
GCD(988, 189, 702, 111) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 988, 189, 702, 111 is 1
GCD(988, 189, 702, 111) = 1
Given Input numbers are 988, 189, 702, 111
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 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Greatest Common Divisior
We found the divisors of 988, 189, 702, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 189, 702, 111 is 1.
Therefore, GCD of numbers 988, 189, 702, 111 is 1
Given Input Data is 988, 189, 702, 111
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 189 is 3 x 3 x 3 x 7
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 111 is 3 x 37
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, 189) = 186732
GCD(988, 189) = ( 988 x 189 ) / 186732
GCD(988, 189) = 186732 / 186732
GCD(988, 189) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
GCD(1, 702) = 702 / 702
GCD(1, 702) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 111) = 111
GCD(1, 111) = ( 1 x 111 ) / 111
GCD(1, 111) = 111 / 111
GCD(1, 111) = 1
GCD of 988, 189, 702, 111 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 988, 189, 702, 111?
GCD of 988, 189, 702, 111 is 1
2. Where do I get the detailed procedure to find GCD of 988, 189, 702, 111?
You can find a detailed procedure to find GCD of 988, 189, 702, 111 on our page.
3. How to find GCD of 988, 189, 702, 111 on a calculator?
You can find the GCD of 988, 189, 702, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.