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 349, 755, 936, 561 i.e. 1 largest integer that divides all the numbers equally.
GCD of 349, 755, 936, 561 is 1
GCD(349, 755, 936, 561) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 349, 755, 936, 561 is 1
GCD(349, 755, 936, 561) = 1
Given Input numbers are 349, 755, 936, 561
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Greatest Common Divisior
We found the divisors of 349, 755, 936, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 755, 936, 561 is 1.
Therefore, GCD of numbers 349, 755, 936, 561 is 1
Given Input Data is 349, 755, 936, 561
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 349 is 349
Prime Factorization of 755 is 5 x 151
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 561 is 3 x 11 x 17
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(349, 755) = 263495
GCD(349, 755) = ( 349 x 755 ) / 263495
GCD(349, 755) = 263495 / 263495
GCD(349, 755) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
GCD(1, 936) = 936 / 936
GCD(1, 936) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
GCD(1, 561) = 561 / 561
GCD(1, 561) = 1
GCD of 349, 755, 936, 561 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 349, 755, 936, 561?
GCD of 349, 755, 936, 561 is 1
2. Where do I get the detailed procedure to find GCD of 349, 755, 936, 561?
You can find a detailed procedure to find GCD of 349, 755, 936, 561 on our page.
3. How to find GCD of 349, 755, 936, 561 on a calculator?
You can find the GCD of 349, 755, 936, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.