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 132, 863, 692, 988 i.e. 1 largest integer that divides all the numbers equally.
GCD of 132, 863, 692, 988 is 1
GCD(132, 863, 692, 988) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 132, 863, 692, 988 is 1
GCD(132, 863, 692, 988) = 1
Given Input numbers are 132, 863, 692, 988
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 863
List of positive integer divisors of 863 that divides 863 without a remainder.
1, 863
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
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
Greatest Common Divisior
We found the divisors of 132, 863, 692, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 863, 692, 988 is 1.
Therefore, GCD of numbers 132, 863, 692, 988 is 1
Given Input Data is 132, 863, 692, 988
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 863 is 863
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 988 is 2 x 2 x 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(132, 863) = 113916
GCD(132, 863) = ( 132 x 863 ) / 113916
GCD(132, 863) = 113916 / 113916
GCD(132, 863) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
GCD(1, 692) = 692 / 692
GCD(1, 692) = 1
Step3:
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
GCD of 132, 863, 692, 988 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 132, 863, 692, 988?
GCD of 132, 863, 692, 988 is 1
2. Where do I get the detailed procedure to find GCD of 132, 863, 692, 988?
You can find a detailed procedure to find GCD of 132, 863, 692, 988 on our page.
3. How to find GCD of 132, 863, 692, 988 on a calculator?
You can find the GCD of 132, 863, 692, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.