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, 814, 334, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 563, 814, 334, 753 is 1
GCD(563, 814, 334, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 563, 814, 334, 753 is 1
GCD(563, 814, 334, 753) = 1
Given Input numbers are 563, 814, 334, 753
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 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 563, 814, 334, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 814, 334, 753 is 1.
Therefore, GCD of numbers 563, 814, 334, 753 is 1
Given Input Data is 563, 814, 334, 753
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 563 is 563
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 334 is 2 x 167
Prime Factorization of 753 is 3 x 251
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, 814) = 458282
GCD(563, 814) = ( 563 x 814 ) / 458282
GCD(563, 814) = 458282 / 458282
GCD(563, 814) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 334) = 334
GCD(1, 334) = ( 1 x 334 ) / 334
GCD(1, 334) = 334 / 334
GCD(1, 334) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 1
GCD of 563, 814, 334, 753 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 563, 814, 334, 753?
GCD of 563, 814, 334, 753 is 1
2. Where do I get the detailed procedure to find GCD of 563, 814, 334, 753?
You can find a detailed procedure to find GCD of 563, 814, 334, 753 on our page.
3. How to find GCD of 563, 814, 334, 753 on a calculator?
You can find the GCD of 563, 814, 334, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.