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 969, 116, 743, 132 i.e. 1 largest integer that divides all the numbers equally.
GCD of 969, 116, 743, 132 is 1
GCD(969, 116, 743, 132) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 116, 743, 132 is 1
GCD(969, 116, 743, 132) = 1
Given Input numbers are 969, 116, 743, 132
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
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
Greatest Common Divisior
We found the divisors of 969, 116, 743, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 116, 743, 132 is 1.
Therefore, GCD of numbers 969, 116, 743, 132 is 1
Given Input Data is 969, 116, 743, 132
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 743 is 743
Prime Factorization of 132 is 2 x 2 x 3 x 11
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(969, 116) = 112404
GCD(969, 116) = ( 969 x 116 ) / 112404
GCD(969, 116) = 112404 / 112404
GCD(969, 116) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 743
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 743) = 743
GCD(1, 743) = ( 1 x 743 ) / 743
GCD(1, 743) = 743 / 743
GCD(1, 743) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
GCD of 969, 116, 743, 132 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 116, 743, 132?
GCD of 969, 116, 743, 132 is 1
2. Where do I get the detailed procedure to find GCD of 969, 116, 743, 132?
You can find a detailed procedure to find GCD of 969, 116, 743, 132 on our page.
3. How to find GCD of 969, 116, 743, 132 on a calculator?
You can find the GCD of 969, 116, 743, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.