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 332, 752, 52, 343 i.e. 1 largest integer that divides all the numbers equally.
GCD of 332, 752, 52, 343 is 1
GCD(332, 752, 52, 343) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 332, 752, 52, 343 is 1
GCD(332, 752, 52, 343) = 1
Given Input numbers are 332, 752, 52, 343
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Greatest Common Divisior
We found the divisors of 332, 752, 52, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 752, 52, 343 is 1.
Therefore, GCD of numbers 332, 752, 52, 343 is 1
Given Input Data is 332, 752, 52, 343
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 343 is 7 x 7 x 7
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(332, 752) = 62416
GCD(332, 752) = ( 332 x 752 ) / 62416
GCD(332, 752) = 249664 / 62416
GCD(332, 752) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 52) = 52
GCD(4, 52) = ( 4 x 52 ) / 52
GCD(4, 52) = 208 / 52
GCD(4, 52) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 343) = 1372
GCD(4, 343) = ( 4 x 343 ) / 1372
GCD(4, 343) = 1372 / 1372
GCD(4, 343) = 1
GCD of 332, 752, 52, 343 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 332, 752, 52, 343?
GCD of 332, 752, 52, 343 is 1
2. Where do I get the detailed procedure to find GCD of 332, 752, 52, 343?
You can find a detailed procedure to find GCD of 332, 752, 52, 343 on our page.
3. How to find GCD of 332, 752, 52, 343 on a calculator?
You can find the GCD of 332, 752, 52, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.