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 142, 721, 43, 563 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 721, 43, 563 is 1
GCD(142, 721, 43, 563) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 721, 43, 563 is 1
GCD(142, 721, 43, 563) = 1
Given Input numbers are 142, 721, 43, 563
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
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 142, 721, 43, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 721, 43, 563 is 1.
Therefore, GCD of numbers 142, 721, 43, 563 is 1
Given Input Data is 142, 721, 43, 563
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 721 is 7 x 103
Prime Factorization of 43 is 43
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(142, 721) = 102382
GCD(142, 721) = ( 142 x 721 ) / 102382
GCD(142, 721) = 102382 / 102382
GCD(142, 721) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 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 142, 721, 43, 563 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 721, 43, 563?
GCD of 142, 721, 43, 563 is 1
2. Where do I get the detailed procedure to find GCD of 142, 721, 43, 563?
You can find a detailed procedure to find GCD of 142, 721, 43, 563 on our page.
3. How to find GCD of 142, 721, 43, 563 on a calculator?
You can find the GCD of 142, 721, 43, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.