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 668, 942, 26, 462 i.e. 2 largest integer that divides all the numbers equally.
GCD of 668, 942, 26, 462 is 2
GCD(668, 942, 26, 462) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 668, 942, 26, 462 is 2
GCD(668, 942, 26, 462) = 2
Given Input numbers are 668, 942, 26, 462
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Greatest Common Divisior
We found the divisors of 668, 942, 26, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 942, 26, 462 is 2.
Therefore, GCD of numbers 668, 942, 26, 462 is 2
Given Input Data is 668, 942, 26, 462
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 26 is 2 x 13
Prime Factorization of 462 is 2 x 3 x 7 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(668, 942) = 314628
GCD(668, 942) = ( 668 x 942 ) / 314628
GCD(668, 942) = 629256 / 314628
GCD(668, 942) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 26) = 26
GCD(2, 26) = ( 2 x 26 ) / 26
GCD(2, 26) = 52 / 26
GCD(2, 26) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 462) = 462
GCD(2, 462) = ( 2 x 462 ) / 462
GCD(2, 462) = 924 / 462
GCD(2, 462) = 2
GCD of 668, 942, 26, 462 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 668, 942, 26, 462?
GCD of 668, 942, 26, 462 is 2
2. Where do I get the detailed procedure to find GCD of 668, 942, 26, 462?
You can find a detailed procedure to find GCD of 668, 942, 26, 462 on our page.
3. How to find GCD of 668, 942, 26, 462 on a calculator?
You can find the GCD of 668, 942, 26, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.