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 782, 447, 56, 380 i.e. 1 largest integer that divides all the numbers equally.
GCD of 782, 447, 56, 380 is 1
GCD(782, 447, 56, 380) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 782, 447, 56, 380 is 1
GCD(782, 447, 56, 380) = 1
Given Input numbers are 782, 447, 56, 380
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
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 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 782, 447, 56, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 447, 56, 380 is 1.
Therefore, GCD of numbers 782, 447, 56, 380 is 1
Given Input Data is 782, 447, 56, 380
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 447 is 3 x 149
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 380 is 2 x 2 x 5 x 19
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(782, 447) = 349554
GCD(782, 447) = ( 782 x 447 ) / 349554
GCD(782, 447) = 349554 / 349554
GCD(782, 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 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
GCD of 782, 447, 56, 380 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 782, 447, 56, 380?
GCD of 782, 447, 56, 380 is 1
2. Where do I get the detailed procedure to find GCD of 782, 447, 56, 380?
You can find a detailed procedure to find GCD of 782, 447, 56, 380 on our page.
3. How to find GCD of 782, 447, 56, 380 on a calculator?
You can find the GCD of 782, 447, 56, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.