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 342, 521, 29, 736 i.e. 1 largest integer that divides all the numbers equally.
GCD of 342, 521, 29, 736 is 1
GCD(342, 521, 29, 736) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 342, 521, 29, 736 is 1
GCD(342, 521, 29, 736) = 1
Given Input numbers are 342, 521, 29, 736
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Greatest Common Divisior
We found the divisors of 342, 521, 29, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 521, 29, 736 is 1.
Therefore, GCD of numbers 342, 521, 29, 736 is 1
Given Input Data is 342, 521, 29, 736
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 521 is 521
Prime Factorization of 29 is 29
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 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(342, 521) = 178182
GCD(342, 521) = ( 342 x 521 ) / 178182
GCD(342, 521) = 178182 / 178182
GCD(342, 521) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 29) = 29
GCD(1, 29) = ( 1 x 29 ) / 29
GCD(1, 29) = 29 / 29
GCD(1, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
GCD(1, 736) = 736 / 736
GCD(1, 736) = 1
GCD of 342, 521, 29, 736 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 342, 521, 29, 736?
GCD of 342, 521, 29, 736 is 1
2. Where do I get the detailed procedure to find GCD of 342, 521, 29, 736?
You can find a detailed procedure to find GCD of 342, 521, 29, 736 on our page.
3. How to find GCD of 342, 521, 29, 736 on a calculator?
You can find the GCD of 342, 521, 29, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.