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, 286, 702, 290 i.e. 1 largest integer that divides all the numbers equally.
GCD of 563, 286, 702, 290 is 1
GCD(563, 286, 702, 290) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 563, 286, 702, 290 is 1
GCD(563, 286, 702, 290) = 1
Given Input numbers are 563, 286, 702, 290
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 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Greatest Common Divisior
We found the divisors of 563, 286, 702, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 286, 702, 290 is 1.
Therefore, GCD of numbers 563, 286, 702, 290 is 1
Given Input Data is 563, 286, 702, 290
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 563 is 563
Prime Factorization of 286 is 2 x 11 x 13
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 290 is 2 x 5 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(563, 286) = 161018
GCD(563, 286) = ( 563 x 286 ) / 161018
GCD(563, 286) = 161018 / 161018
GCD(563, 286) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
GCD(1, 702) = 702 / 702
GCD(1, 702) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 290
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 290) = 290
GCD(1, 290) = ( 1 x 290 ) / 290
GCD(1, 290) = 290 / 290
GCD(1, 290) = 1
GCD of 563, 286, 702, 290 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 563, 286, 702, 290?
GCD of 563, 286, 702, 290 is 1
2. Where do I get the detailed procedure to find GCD of 563, 286, 702, 290?
You can find a detailed procedure to find GCD of 563, 286, 702, 290 on our page.
3. How to find GCD of 563, 286, 702, 290 on a calculator?
You can find the GCD of 563, 286, 702, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.