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, 897, 437, 117 i.e. 1 largest integer that divides all the numbers equally.
GCD of 132, 897, 437, 117 is 1
GCD(132, 897, 437, 117) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 132, 897, 437, 117 is 1
GCD(132, 897, 437, 117) = 1
Given Input numbers are 132, 897, 437, 117
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 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Greatest Common Divisior
We found the divisors of 132, 897, 437, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 897, 437, 117 is 1.
Therefore, GCD of numbers 132, 897, 437, 117 is 1
Given Input Data is 132, 897, 437, 117
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 897 is 3 x 13 x 23
Prime Factorization of 437 is 19 x 23
Prime Factorization of 117 is 3 x 3 x 13
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, 897) = 39468
GCD(132, 897) = ( 132 x 897 ) / 39468
GCD(132, 897) = 118404 / 39468
GCD(132, 897) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 437
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 437) = 1311
GCD(3, 437) = ( 3 x 437 ) / 1311
GCD(3, 437) = 1311 / 1311
GCD(3, 437) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
GCD(1, 117) = 117 / 117
GCD(1, 117) = 1
GCD of 132, 897, 437, 117 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 132, 897, 437, 117?
GCD of 132, 897, 437, 117 is 1
2. Where do I get the detailed procedure to find GCD of 132, 897, 437, 117?
You can find a detailed procedure to find GCD of 132, 897, 437, 117 on our page.
3. How to find GCD of 132, 897, 437, 117 on a calculator?
You can find the GCD of 132, 897, 437, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.