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, 278, 774, 859 i.e. 1 largest integer that divides all the numbers equally.
GCD of 46, 278, 774, 859 is 1
GCD(46, 278, 774, 859) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 46, 278, 774, 859 is 1
GCD(46, 278, 774, 859) = 1
Given Input numbers are 46, 278, 774, 859
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 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
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 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Greatest Common Divisior
We found the divisors of 46, 278, 774, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 278, 774, 859 is 1.
Therefore, GCD of numbers 46, 278, 774, 859 is 1
Given Input Data is 46, 278, 774, 859
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 46 is 2 x 23
Prime Factorization of 278 is 2 x 139
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 859 is 859
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, 278) = 6394
GCD(46, 278) = ( 46 x 278 ) / 6394
GCD(46, 278) = 12788 / 6394
GCD(46, 278) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 774
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 774) = 774
GCD(2, 774) = ( 2 x 774 ) / 774
GCD(2, 774) = 1548 / 774
GCD(2, 774) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 859
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 859) = 1718
GCD(2, 859) = ( 2 x 859 ) / 1718
GCD(2, 859) = 1718 / 1718
GCD(2, 859) = 1
GCD of 46, 278, 774, 859 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 46, 278, 774, 859?
GCD of 46, 278, 774, 859 is 1
2. Where do I get the detailed procedure to find GCD of 46, 278, 774, 859?
You can find a detailed procedure to find GCD of 46, 278, 774, 859 on our page.
3. How to find GCD of 46, 278, 774, 859 on a calculator?
You can find the GCD of 46, 278, 774, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.