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 42, 648, 279, 656 i.e. 1 largest integer that divides all the numbers equally.
GCD of 42, 648, 279, 656 is 1
GCD(42, 648, 279, 656) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 42, 648, 279, 656 is 1
GCD(42, 648, 279, 656) = 1
Given Input numbers are 42, 648, 279, 656
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Greatest Common Divisior
We found the divisors of 42, 648, 279, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 648, 279, 656 is 1.
Therefore, GCD of numbers 42, 648, 279, 656 is 1
Given Input Data is 42, 648, 279, 656
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
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(42, 648) = 4536
GCD(42, 648) = ( 42 x 648 ) / 4536
GCD(42, 648) = 27216 / 4536
GCD(42, 648) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 279) = 558
GCD(6, 279) = ( 6 x 279 ) / 558
GCD(6, 279) = 1674 / 558
GCD(6, 279) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 656
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 656) = 1968
GCD(3, 656) = ( 3 x 656 ) / 1968
GCD(3, 656) = 1968 / 1968
GCD(3, 656) = 1
GCD of 42, 648, 279, 656 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 42, 648, 279, 656?
GCD of 42, 648, 279, 656 is 1
2. Where do I get the detailed procedure to find GCD of 42, 648, 279, 656?
You can find a detailed procedure to find GCD of 42, 648, 279, 656 on our page.
3. How to find GCD of 42, 648, 279, 656 on a calculator?
You can find the GCD of 42, 648, 279, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.