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 46, 774, 475, 812 i.e. 1 largest integer that divides all the numbers equally.
GCD of 46, 774, 475, 812 is 1
GCD(46, 774, 475, 812) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 46, 774, 475, 812 is 1
GCD(46, 774, 475, 812) = 1
Given Input numbers are 46, 774, 475, 812
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Greatest Common Divisior
We found the divisors of 46, 774, 475, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 774, 475, 812 is 1.
Therefore, GCD of numbers 46, 774, 475, 812 is 1
Given Input Data is 46, 774, 475, 812
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 46 is 2 x 23
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 812 is 2 x 2 x 7 x 29
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(46, 774) = 17802
GCD(46, 774) = ( 46 x 774 ) / 17802
GCD(46, 774) = 35604 / 17802
GCD(46, 774) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 475
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 475) = 950
GCD(2, 475) = ( 2 x 475 ) / 950
GCD(2, 475) = 950 / 950
GCD(2, 475) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 812) = 812
GCD(1, 812) = ( 1 x 812 ) / 812
GCD(1, 812) = 812 / 812
GCD(1, 812) = 1
GCD of 46, 774, 475, 812 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 46, 774, 475, 812?
GCD of 46, 774, 475, 812 is 1
2. Where do I get the detailed procedure to find GCD of 46, 774, 475, 812?
You can find a detailed procedure to find GCD of 46, 774, 475, 812 on our page.
3. How to find GCD of 46, 774, 475, 812 on a calculator?
You can find the GCD of 46, 774, 475, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.