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 356, 832, 339, 529 i.e. 1 largest integer that divides all the numbers equally.
GCD of 356, 832, 339, 529 is 1
GCD(356, 832, 339, 529) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 356, 832, 339, 529 is 1
GCD(356, 832, 339, 529) = 1
Given Input numbers are 356, 832, 339, 529
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Greatest Common Divisior
We found the divisors of 356, 832, 339, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 832, 339, 529 is 1.
Therefore, GCD of numbers 356, 832, 339, 529 is 1
Given Input Data is 356, 832, 339, 529
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 339 is 3 x 113
Prime Factorization of 529 is 23 x 23
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(356, 832) = 74048
GCD(356, 832) = ( 356 x 832 ) / 74048
GCD(356, 832) = 296192 / 74048
GCD(356, 832) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 339) = 1356
GCD(4, 339) = ( 4 x 339 ) / 1356
GCD(4, 339) = 1356 / 1356
GCD(4, 339) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 529
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 529) = 529
GCD(1, 529) = ( 1 x 529 ) / 529
GCD(1, 529) = 529 / 529
GCD(1, 529) = 1
GCD of 356, 832, 339, 529 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 356, 832, 339, 529?
GCD of 356, 832, 339, 529 is 1
2. Where do I get the detailed procedure to find GCD of 356, 832, 339, 529?
You can find a detailed procedure to find GCD of 356, 832, 339, 529 on our page.
3. How to find GCD of 356, 832, 339, 529 on a calculator?
You can find the GCD of 356, 832, 339, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.