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 562, 406, 63, 289 i.e. 1 largest integer that divides all the numbers equally.
GCD of 562, 406, 63, 289 is 1
GCD(562, 406, 63, 289) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 562, 406, 63, 289 is 1
GCD(562, 406, 63, 289) = 1
Given Input numbers are 562, 406, 63, 289
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Greatest Common Divisior
We found the divisors of 562, 406, 63, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 406, 63, 289 is 1.
Therefore, GCD of numbers 562, 406, 63, 289 is 1
Given Input Data is 562, 406, 63, 289
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 562 is 2 x 281
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 289 is 17 x 17
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(562, 406) = 114086
GCD(562, 406) = ( 562 x 406 ) / 114086
GCD(562, 406) = 228172 / 114086
GCD(562, 406) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 63) = 126
GCD(2, 63) = ( 2 x 63 ) / 126
GCD(2, 63) = 126 / 126
GCD(2, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
GCD of 562, 406, 63, 289 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 562, 406, 63, 289?
GCD of 562, 406, 63, 289 is 1
2. Where do I get the detailed procedure to find GCD of 562, 406, 63, 289?
You can find a detailed procedure to find GCD of 562, 406, 63, 289 on our page.
3. How to find GCD of 562, 406, 63, 289 on a calculator?
You can find the GCD of 562, 406, 63, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.