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 561, 755, 320, 545 i.e. 1 largest integer that divides all the numbers equally.
GCD of 561, 755, 320, 545 is 1
GCD(561, 755, 320, 545) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 561, 755, 320, 545 is 1
GCD(561, 755, 320, 545) = 1
Given Input numbers are 561, 755, 320, 545
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Greatest Common Divisior
We found the divisors of 561, 755, 320, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 755, 320, 545 is 1.
Therefore, GCD of numbers 561, 755, 320, 545 is 1
Given Input Data is 561, 755, 320, 545
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 755 is 5 x 151
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 545 is 5 x 109
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(561, 755) = 423555
GCD(561, 755) = ( 561 x 755 ) / 423555
GCD(561, 755) = 423555 / 423555
GCD(561, 755) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
GCD(1, 320) = 320 / 320
GCD(1, 320) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 545) = 545
GCD(1, 545) = ( 1 x 545 ) / 545
GCD(1, 545) = 545 / 545
GCD(1, 545) = 1
GCD of 561, 755, 320, 545 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 561, 755, 320, 545?
GCD of 561, 755, 320, 545 is 1
2. Where do I get the detailed procedure to find GCD of 561, 755, 320, 545?
You can find a detailed procedure to find GCD of 561, 755, 320, 545 on our page.
3. How to find GCD of 561, 755, 320, 545 on a calculator?
You can find the GCD of 561, 755, 320, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.