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 106, 427, 674, 442 i.e. 1 largest integer that divides all the numbers equally.
GCD of 106, 427, 674, 442 is 1
GCD(106, 427, 674, 442) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 106, 427, 674, 442 is 1
GCD(106, 427, 674, 442) = 1
Given Input numbers are 106, 427, 674, 442
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Greatest Common Divisior
We found the divisors of 106, 427, 674, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 427, 674, 442 is 1.
Therefore, GCD of numbers 106, 427, 674, 442 is 1
Given Input Data is 106, 427, 674, 442
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 106 is 2 x 53
Prime Factorization of 427 is 7 x 61
Prime Factorization of 674 is 2 x 337
Prime Factorization of 442 is 2 x 13 x 17
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(106, 427) = 45262
GCD(106, 427) = ( 106 x 427 ) / 45262
GCD(106, 427) = 45262 / 45262
GCD(106, 427) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 674
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 674) = 674
GCD(1, 674) = ( 1 x 674 ) / 674
GCD(1, 674) = 674 / 674
GCD(1, 674) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
GCD(1, 442) = 442 / 442
GCD(1, 442) = 1
GCD of 106, 427, 674, 442 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 106, 427, 674, 442?
GCD of 106, 427, 674, 442 is 1
2. Where do I get the detailed procedure to find GCD of 106, 427, 674, 442?
You can find a detailed procedure to find GCD of 106, 427, 674, 442 on our page.
3. How to find GCD of 106, 427, 674, 442 on a calculator?
You can find the GCD of 106, 427, 674, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.