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, 926, 638 i.e. 1 largest integer that divides all the numbers equally.
GCD of 561, 755, 926, 638 is 1
GCD(561, 755, 926, 638) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 561, 755, 926, 638 is 1
GCD(561, 755, 926, 638) = 1
Given Input numbers are 561, 755, 926, 638
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 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Greatest Common Divisior
We found the divisors of 561, 755, 926, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 755, 926, 638 is 1.
Therefore, GCD of numbers 561, 755, 926, 638 is 1
Given Input Data is 561, 755, 926, 638
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 926 is 2 x 463
Prime Factorization of 638 is 2 x 11 x 29
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 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 926) = 926
GCD(1, 926) = ( 1 x 926 ) / 926
GCD(1, 926) = 926 / 926
GCD(1, 926) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 638
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 638) = 638
GCD(1, 638) = ( 1 x 638 ) / 638
GCD(1, 638) = 638 / 638
GCD(1, 638) = 1
GCD of 561, 755, 926, 638 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 561, 755, 926, 638?
GCD of 561, 755, 926, 638 is 1
2. Where do I get the detailed procedure to find GCD of 561, 755, 926, 638?
You can find a detailed procedure to find GCD of 561, 755, 926, 638 on our page.
3. How to find GCD of 561, 755, 926, 638 on a calculator?
You can find the GCD of 561, 755, 926, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.