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 773, 469, 112, 416 i.e. 1 largest integer that divides all the numbers equally.
GCD of 773, 469, 112, 416 is 1
GCD(773, 469, 112, 416) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 773, 469, 112, 416 is 1
GCD(773, 469, 112, 416) = 1
Given Input numbers are 773, 469, 112, 416
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
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 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Greatest Common Divisior
We found the divisors of 773, 469, 112, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 773, 469, 112, 416 is 1.
Therefore, GCD of numbers 773, 469, 112, 416 is 1
Given Input Data is 773, 469, 112, 416
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 773 is 773
Prime Factorization of 469 is 7 x 67
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
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(773, 469) = 362537
GCD(773, 469) = ( 773 x 469 ) / 362537
GCD(773, 469) = 362537 / 362537
GCD(773, 469) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
GCD(1, 112) = 112 / 112
GCD(1, 112) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 416
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 416) = 416
GCD(1, 416) = ( 1 x 416 ) / 416
GCD(1, 416) = 416 / 416
GCD(1, 416) = 1
GCD of 773, 469, 112, 416 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 773, 469, 112, 416?
GCD of 773, 469, 112, 416 is 1
2. Where do I get the detailed procedure to find GCD of 773, 469, 112, 416?
You can find a detailed procedure to find GCD of 773, 469, 112, 416 on our page.
3. How to find GCD of 773, 469, 112, 416 on a calculator?
You can find the GCD of 773, 469, 112, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.