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 613, 112, 441, 477 i.e. 1 largest integer that divides all the numbers equally.
GCD of 613, 112, 441, 477 is 1
GCD(613, 112, 441, 477) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 613, 112, 441, 477 is 1
GCD(613, 112, 441, 477) = 1
Given Input numbers are 613, 112, 441, 477
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Greatest Common Divisior
We found the divisors of 613, 112, 441, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 613, 112, 441, 477 is 1.
Therefore, GCD of numbers 613, 112, 441, 477 is 1
Given Input Data is 613, 112, 441, 477
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 613 is 613
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 477 is 3 x 3 x 53
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(613, 112) = 68656
GCD(613, 112) = ( 613 x 112 ) / 68656
GCD(613, 112) = 68656 / 68656
GCD(613, 112) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 441
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 441) = 441
GCD(1, 441) = ( 1 x 441 ) / 441
GCD(1, 441) = 441 / 441
GCD(1, 441) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 477
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 477) = 477
GCD(1, 477) = ( 1 x 477 ) / 477
GCD(1, 477) = 477 / 477
GCD(1, 477) = 1
GCD of 613, 112, 441, 477 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 613, 112, 441, 477?
GCD of 613, 112, 441, 477 is 1
2. Where do I get the detailed procedure to find GCD of 613, 112, 441, 477?
You can find a detailed procedure to find GCD of 613, 112, 441, 477 on our page.
3. How to find GCD of 613, 112, 441, 477 on a calculator?
You can find the GCD of 613, 112, 441, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.