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 563, 296, 705, 926 i.e. 1 largest integer that divides all the numbers equally.
GCD of 563, 296, 705, 926 is 1
GCD(563, 296, 705, 926) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 563, 296, 705, 926 is 1
GCD(563, 296, 705, 926) = 1
Given Input numbers are 563, 296, 705, 926
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Greatest Common Divisior
We found the divisors of 563, 296, 705, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 296, 705, 926 is 1.
Therefore, GCD of numbers 563, 296, 705, 926 is 1
Given Input Data is 563, 296, 705, 926
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 563 is 563
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 926 is 2 x 463
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(563, 296) = 166648
GCD(563, 296) = ( 563 x 296 ) / 166648
GCD(563, 296) = 166648 / 166648
GCD(563, 296) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
GCD(1, 705) = 705 / 705
GCD(1, 705) = 1
Step3:
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
GCD of 563, 296, 705, 926 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 563, 296, 705, 926?
GCD of 563, 296, 705, 926 is 1
2. Where do I get the detailed procedure to find GCD of 563, 296, 705, 926?
You can find a detailed procedure to find GCD of 563, 296, 705, 926 on our page.
3. How to find GCD of 563, 296, 705, 926 on a calculator?
You can find the GCD of 563, 296, 705, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.