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 401, 752, 346, 279 i.e. 1 largest integer that divides all the numbers equally.
GCD of 401, 752, 346, 279 is 1
GCD(401, 752, 346, 279) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 401, 752, 346, 279 is 1
GCD(401, 752, 346, 279) = 1
Given Input numbers are 401, 752, 346, 279
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Greatest Common Divisior
We found the divisors of 401, 752, 346, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 752, 346, 279 is 1.
Therefore, GCD of numbers 401, 752, 346, 279 is 1
Given Input Data is 401, 752, 346, 279
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 401 is 401
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 346 is 2 x 173
Prime Factorization of 279 is 3 x 3 x 31
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(401, 752) = 301552
GCD(401, 752) = ( 401 x 752 ) / 301552
GCD(401, 752) = 301552 / 301552
GCD(401, 752) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
Step3:
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
GCD of 401, 752, 346, 279 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 401, 752, 346, 279?
GCD of 401, 752, 346, 279 is 1
2. Where do I get the detailed procedure to find GCD of 401, 752, 346, 279?
You can find a detailed procedure to find GCD of 401, 752, 346, 279 on our page.
3. How to find GCD of 401, 752, 346, 279 on a calculator?
You can find the GCD of 401, 752, 346, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.