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 69, 484, 338, 132 i.e. 1 largest integer that divides all the numbers equally.
GCD of 69, 484, 338, 132 is 1
GCD(69, 484, 338, 132) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 69, 484, 338, 132 is 1
GCD(69, 484, 338, 132) = 1
Given Input numbers are 69, 484, 338, 132
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
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 69, 484, 338, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 484, 338, 132 is 1.
Therefore, GCD of numbers 69, 484, 338, 132 is 1
Given Input Data is 69, 484, 338, 132
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 69 is 3 x 23
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 338 is 2 x 13 x 13
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(69, 484) = 33396
GCD(69, 484) = ( 69 x 484 ) / 33396
GCD(69, 484) = 33396 / 33396
GCD(69, 484) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
GCD(1, 338) = 338 / 338
GCD(1, 338) = 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 69, 484, 338, 132 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 69, 484, 338, 132?
GCD of 69, 484, 338, 132 is 1
2. Where do I get the detailed procedure to find GCD of 69, 484, 338, 132?
You can find a detailed procedure to find GCD of 69, 484, 338, 132 on our page.
3. How to find GCD of 69, 484, 338, 132 on a calculator?
You can find the GCD of 69, 484, 338, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.