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 496, 571, 721, 138 i.e. 1 largest integer that divides all the numbers equally.
GCD of 496, 571, 721, 138 is 1
GCD(496, 571, 721, 138) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 496, 571, 721, 138 is 1
GCD(496, 571, 721, 138) = 1
Given Input numbers are 496, 571, 721, 138
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Greatest Common Divisior
We found the divisors of 496, 571, 721, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 571, 721, 138 is 1.
Therefore, GCD of numbers 496, 571, 721, 138 is 1
Given Input Data is 496, 571, 721, 138
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 571 is 571
Prime Factorization of 721 is 7 x 103
Prime Factorization of 138 is 2 x 3 x 23
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(496, 571) = 283216
GCD(496, 571) = ( 496 x 571 ) / 283216
GCD(496, 571) = 283216 / 283216
GCD(496, 571) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
GCD(1, 721) = 721 / 721
GCD(1, 721) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
GCD(1, 138) = 138 / 138
GCD(1, 138) = 1
GCD of 496, 571, 721, 138 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 496, 571, 721, 138?
GCD of 496, 571, 721, 138 is 1
2. Where do I get the detailed procedure to find GCD of 496, 571, 721, 138?
You can find a detailed procedure to find GCD of 496, 571, 721, 138 on our page.
3. How to find GCD of 496, 571, 721, 138 on a calculator?
You can find the GCD of 496, 571, 721, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.