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 331, 564, 34, 755 i.e. 1 largest integer that divides all the numbers equally.
GCD of 331, 564, 34, 755 is 1
GCD(331, 564, 34, 755) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 331, 564, 34, 755 is 1
GCD(331, 564, 34, 755) = 1
Given Input numbers are 331, 564, 34, 755
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
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 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Greatest Common Divisior
We found the divisors of 331, 564, 34, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 564, 34, 755 is 1.
Therefore, GCD of numbers 331, 564, 34, 755 is 1
Given Input Data is 331, 564, 34, 755
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 331 is 331
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 34 is 2 x 17
Prime Factorization of 755 is 5 x 151
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(331, 564) = 186684
GCD(331, 564) = ( 331 x 564 ) / 186684
GCD(331, 564) = 186684 / 186684
GCD(331, 564) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 34) = 34
GCD(1, 34) = ( 1 x 34 ) / 34
GCD(1, 34) = 34 / 34
GCD(1, 34) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 755
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 755) = 755
GCD(1, 755) = ( 1 x 755 ) / 755
GCD(1, 755) = 755 / 755
GCD(1, 755) = 1
GCD of 331, 564, 34, 755 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 331, 564, 34, 755?
GCD of 331, 564, 34, 755 is 1
2. Where do I get the detailed procedure to find GCD of 331, 564, 34, 755?
You can find a detailed procedure to find GCD of 331, 564, 34, 755 on our page.
3. How to find GCD of 331, 564, 34, 755 on a calculator?
You can find the GCD of 331, 564, 34, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.