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 29, 490, 694, 563 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 490, 694, 563 is 1
GCD(29, 490, 694, 563) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 490, 694, 563 is 1
GCD(29, 490, 694, 563) = 1
Given Input numbers are 29, 490, 694, 563
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Greatest Common Divisior
We found the divisors of 29, 490, 694, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 490, 694, 563 is 1.
Therefore, GCD of numbers 29, 490, 694, 563 is 1
Given Input Data is 29, 490, 694, 563
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 694 is 2 x 347
Prime Factorization of 563 is 563
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(29, 490) = 14210
GCD(29, 490) = ( 29 x 490 ) / 14210
GCD(29, 490) = 14210 / 14210
GCD(29, 490) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 694
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 694) = 694
GCD(1, 694) = ( 1 x 694 ) / 694
GCD(1, 694) = 694 / 694
GCD(1, 694) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 563
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 563) = 563
GCD(1, 563) = ( 1 x 563 ) / 563
GCD(1, 563) = 563 / 563
GCD(1, 563) = 1
GCD of 29, 490, 694, 563 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 490, 694, 563?
GCD of 29, 490, 694, 563 is 1
2. Where do I get the detailed procedure to find GCD of 29, 490, 694, 563?
You can find a detailed procedure to find GCD of 29, 490, 694, 563 on our page.
3. How to find GCD of 29, 490, 694, 563 on a calculator?
You can find the GCD of 29, 490, 694, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.