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 144, 743, 22, 567 i.e. 1 largest integer that divides all the numbers equally.
GCD of 144, 743, 22, 567 is 1
GCD(144, 743, 22, 567) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 144, 743, 22, 567 is 1
GCD(144, 743, 22, 567) = 1
Given Input numbers are 144, 743, 22, 567
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Greatest Common Divisior
We found the divisors of 144, 743, 22, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 743, 22, 567 is 1.
Therefore, GCD of numbers 144, 743, 22, 567 is 1
Given Input Data is 144, 743, 22, 567
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 743 is 743
Prime Factorization of 22 is 2 x 11
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
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(144, 743) = 106992
GCD(144, 743) = ( 144 x 743 ) / 106992
GCD(144, 743) = 106992 / 106992
GCD(144, 743) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 22) = 22
GCD(1, 22) = ( 1 x 22 ) / 22
GCD(1, 22) = 22 / 22
GCD(1, 22) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
GCD(1, 567) = 567 / 567
GCD(1, 567) = 1
GCD of 144, 743, 22, 567 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 144, 743, 22, 567?
GCD of 144, 743, 22, 567 is 1
2. Where do I get the detailed procedure to find GCD of 144, 743, 22, 567?
You can find a detailed procedure to find GCD of 144, 743, 22, 567 on our page.
3. How to find GCD of 144, 743, 22, 567 on a calculator?
You can find the GCD of 144, 743, 22, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.