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 442, 694, 926, 606 i.e. 2 largest integer that divides all the numbers equally.
GCD of 442, 694, 926, 606 is 2
GCD(442, 694, 926, 606) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 442, 694, 926, 606 is 2
GCD(442, 694, 926, 606) = 2
Given Input numbers are 442, 694, 926, 606
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 606
List of positive integer divisors of 606 that divides 606 without a remainder.
1, 2, 3, 6, 101, 202, 303, 606
Greatest Common Divisior
We found the divisors of 442, 694, 926, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 694, 926, 606 is 2.
Therefore, GCD of numbers 442, 694, 926, 606 is 2
Given Input Data is 442, 694, 926, 606
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 694 is 2 x 347
Prime Factorization of 926 is 2 x 463
Prime Factorization of 606 is 2 x 3 x 101
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(442, 694) = 153374
GCD(442, 694) = ( 442 x 694 ) / 153374
GCD(442, 694) = 306748 / 153374
GCD(442, 694) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 926) = 926
GCD(2, 926) = ( 2 x 926 ) / 926
GCD(2, 926) = 1852 / 926
GCD(2, 926) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 606
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 606) = 606
GCD(2, 606) = ( 2 x 606 ) / 606
GCD(2, 606) = 1212 / 606
GCD(2, 606) = 2
GCD of 442, 694, 926, 606 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 442, 694, 926, 606?
GCD of 442, 694, 926, 606 is 2
2. Where do I get the detailed procedure to find GCD of 442, 694, 926, 606?
You can find a detailed procedure to find GCD of 442, 694, 926, 606 on our page.
3. How to find GCD of 442, 694, 926, 606 on a calculator?
You can find the GCD of 442, 694, 926, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.