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 713, 447, 56, 946 i.e. 1 largest integer that divides all the numbers equally.
GCD of 713, 447, 56, 946 is 1
GCD(713, 447, 56, 946) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 713, 447, 56, 946 is 1
GCD(713, 447, 56, 946) = 1
Given Input numbers are 713, 447, 56, 946
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 447
List of positive integer divisors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 713, 447, 56, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 447, 56, 946 is 1.
Therefore, GCD of numbers 713, 447, 56, 946 is 1
Given Input Data is 713, 447, 56, 946
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 713 is 23 x 31
Prime Factorization of 447 is 3 x 149
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 946 is 2 x 11 x 43
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(713, 447) = 318711
GCD(713, 447) = ( 713 x 447 ) / 318711
GCD(713, 447) = 318711 / 318711
GCD(713, 447) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 56) = 56
GCD(1, 56) = ( 1 x 56 ) / 56
GCD(1, 56) = 56 / 56
GCD(1, 56) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
GCD of 713, 447, 56, 946 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 713, 447, 56, 946?
GCD of 713, 447, 56, 946 is 1
2. Where do I get the detailed procedure to find GCD of 713, 447, 56, 946?
You can find a detailed procedure to find GCD of 713, 447, 56, 946 on our page.
3. How to find GCD of 713, 447, 56, 946 on a calculator?
You can find the GCD of 713, 447, 56, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.