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 541, 564, 341, 355 i.e. 1 largest integer that divides all the numbers equally.
GCD of 541, 564, 341, 355 is 1
GCD(541, 564, 341, 355) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 541, 564, 341, 355 is 1
GCD(541, 564, 341, 355) = 1
Given Input numbers are 541, 564, 341, 355
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 541
List of positive integer divisors of 541 that divides 541 without a remainder.
1, 541
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Greatest Common Divisior
We found the divisors of 541, 564, 341, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 541, 564, 341, 355 is 1.
Therefore, GCD of numbers 541, 564, 341, 355 is 1
Given Input Data is 541, 564, 341, 355
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 541 is 541
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 341 is 11 x 31
Prime Factorization of 355 is 5 x 71
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(541, 564) = 305124
GCD(541, 564) = ( 541 x 564 ) / 305124
GCD(541, 564) = 305124 / 305124
GCD(541, 564) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 341
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 341) = 341
GCD(1, 341) = ( 1 x 341 ) / 341
GCD(1, 341) = 341 / 341
GCD(1, 341) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 355
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
GCD(1, 355) = 355 / 355
GCD(1, 355) = 1
GCD of 541, 564, 341, 355 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 541, 564, 341, 355?
GCD of 541, 564, 341, 355 is 1
2. Where do I get the detailed procedure to find GCD of 541, 564, 341, 355?
You can find a detailed procedure to find GCD of 541, 564, 341, 355 on our page.
3. How to find GCD of 541, 564, 341, 355 on a calculator?
You can find the GCD of 541, 564, 341, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.