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 542, 848, 44, 401 i.e. 1 largest integer that divides all the numbers equally.
GCD of 542, 848, 44, 401 is 1
GCD(542, 848, 44, 401) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 542, 848, 44, 401 is 1
GCD(542, 848, 44, 401) = 1
Given Input numbers are 542, 848, 44, 401
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Greatest Common Divisior
We found the divisors of 542, 848, 44, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 848, 44, 401 is 1.
Therefore, GCD of numbers 542, 848, 44, 401 is 1
Given Input Data is 542, 848, 44, 401
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 542 is 2 x 271
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 401 is 401
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(542, 848) = 229808
GCD(542, 848) = ( 542 x 848 ) / 229808
GCD(542, 848) = 459616 / 229808
GCD(542, 848) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 44) = 44
GCD(2, 44) = ( 2 x 44 ) / 44
GCD(2, 44) = 88 / 44
GCD(2, 44) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 401
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 401) = 802
GCD(2, 401) = ( 2 x 401 ) / 802
GCD(2, 401) = 802 / 802
GCD(2, 401) = 1
GCD of 542, 848, 44, 401 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 542, 848, 44, 401?
GCD of 542, 848, 44, 401 is 1
2. Where do I get the detailed procedure to find GCD of 542, 848, 44, 401?
You can find a detailed procedure to find GCD of 542, 848, 44, 401 on our page.
3. How to find GCD of 542, 848, 44, 401 on a calculator?
You can find the GCD of 542, 848, 44, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.