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, 748, 26, 467 i.e. 1 largest integer that divides all the numbers equally.
GCD of 442, 748, 26, 467 is 1
GCD(442, 748, 26, 467) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 442, 748, 26, 467 is 1
GCD(442, 748, 26, 467) = 1
Given Input numbers are 442, 748, 26, 467
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 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Greatest Common Divisior
We found the divisors of 442, 748, 26, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 748, 26, 467 is 1.
Therefore, GCD of numbers 442, 748, 26, 467 is 1
Given Input Data is 442, 748, 26, 467
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 748 is 2 x 2 x 11 x 17
Prime Factorization of 26 is 2 x 13
Prime Factorization of 467 is 467
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(442, 748) = 9724
GCD(442, 748) = ( 442 x 748 ) / 9724
GCD(442, 748) = 330616 / 9724
GCD(442, 748) = 34
Step2:
Here we consider the GCD from the above i.e. 34 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(34, 26) = 442
GCD(34, 26) = ( 34 x 26 ) / 442
GCD(34, 26) = 884 / 442
GCD(34, 26) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 467
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 467) = 934
GCD(2, 467) = ( 2 x 467 ) / 934
GCD(2, 467) = 934 / 934
GCD(2, 467) = 1
GCD of 442, 748, 26, 467 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 442, 748, 26, 467?
GCD of 442, 748, 26, 467 is 1
2. Where do I get the detailed procedure to find GCD of 442, 748, 26, 467?
You can find a detailed procedure to find GCD of 442, 748, 26, 467 on our page.
3. How to find GCD of 442, 748, 26, 467 on a calculator?
You can find the GCD of 442, 748, 26, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.