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, 182, 470, 648 i.e. 1 largest integer that divides all the numbers equally.
GCD of 713, 182, 470, 648 is 1
GCD(713, 182, 470, 648) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 713, 182, 470, 648 is 1
GCD(713, 182, 470, 648) = 1
Given Input numbers are 713, 182, 470, 648
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 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Greatest Common Divisior
We found the divisors of 713, 182, 470, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 182, 470, 648 is 1.
Therefore, GCD of numbers 713, 182, 470, 648 is 1
Given Input Data is 713, 182, 470, 648
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 713 is 23 x 31
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
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, 182) = 129766
GCD(713, 182) = ( 713 x 182 ) / 129766
GCD(713, 182) = 129766 / 129766
GCD(713, 182) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
GCD(1, 470) = 470 / 470
GCD(1, 470) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
GCD(1, 648) = 648 / 648
GCD(1, 648) = 1
GCD of 713, 182, 470, 648 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 713, 182, 470, 648?
GCD of 713, 182, 470, 648 is 1
2. Where do I get the detailed procedure to find GCD of 713, 182, 470, 648?
You can find a detailed procedure to find GCD of 713, 182, 470, 648 on our page.
3. How to find GCD of 713, 182, 470, 648 on a calculator?
You can find the GCD of 713, 182, 470, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.