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, 395, 279, 701 i.e. 1 largest integer that divides all the numbers equally.
GCD of 46, 395, 279, 701 is 1
GCD(46, 395, 279, 701) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 46, 395, 279, 701 is 1
GCD(46, 395, 279, 701) = 1
Given Input numbers are 46, 395, 279, 701
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 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Greatest Common Divisior
We found the divisors of 46, 395, 279, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 395, 279, 701 is 1.
Therefore, GCD of numbers 46, 395, 279, 701 is 1
Given Input Data is 46, 395, 279, 701
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 46 is 2 x 23
Prime Factorization of 395 is 5 x 79
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 701 is 701
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, 395) = 18170
GCD(46, 395) = ( 46 x 395 ) / 18170
GCD(46, 395) = 18170 / 18170
GCD(46, 395) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 279) = 279
GCD(1, 279) = ( 1 x 279 ) / 279
GCD(1, 279) = 279 / 279
GCD(1, 279) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 701) = 701
GCD(1, 701) = ( 1 x 701 ) / 701
GCD(1, 701) = 701 / 701
GCD(1, 701) = 1
GCD of 46, 395, 279, 701 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 46, 395, 279, 701?
GCD of 46, 395, 279, 701 is 1
2. Where do I get the detailed procedure to find GCD of 46, 395, 279, 701?
You can find a detailed procedure to find GCD of 46, 395, 279, 701 on our page.
3. How to find GCD of 46, 395, 279, 701 on a calculator?
You can find the GCD of 46, 395, 279, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.