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, 442, 962, 144 i.e. 1 largest integer that divides all the numbers equally.
GCD of 563, 442, 962, 144 is 1
GCD(563, 442, 962, 144) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 563, 442, 962, 144 is 1
GCD(563, 442, 962, 144) = 1
Given Input numbers are 563, 442, 962, 144
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 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Greatest Common Divisior
We found the divisors of 563, 442, 962, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 442, 962, 144 is 1.
Therefore, GCD of numbers 563, 442, 962, 144 is 1
Given Input Data is 563, 442, 962, 144
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 563 is 563
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
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, 442) = 248846
GCD(563, 442) = ( 563 x 442 ) / 248846
GCD(563, 442) = 248846 / 248846
GCD(563, 442) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 962) = 962
GCD(1, 962) = ( 1 x 962 ) / 962
GCD(1, 962) = 962 / 962
GCD(1, 962) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
GCD of 563, 442, 962, 144 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 563, 442, 962, 144?
GCD of 563, 442, 962, 144 is 1
2. Where do I get the detailed procedure to find GCD of 563, 442, 962, 144?
You can find a detailed procedure to find GCD of 563, 442, 962, 144 on our page.
3. How to find GCD of 563, 442, 962, 144 on a calculator?
You can find the GCD of 563, 442, 962, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.