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, 406, 344, 735 i.e. 1 largest integer that divides all the numbers equally.
GCD of 42, 406, 344, 735 is 1
GCD(42, 406, 344, 735) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 42, 406, 344, 735 is 1
GCD(42, 406, 344, 735) = 1
Given Input numbers are 42, 406, 344, 735
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 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Greatest Common Divisior
We found the divisors of 42, 406, 344, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 406, 344, 735 is 1.
Therefore, GCD of numbers 42, 406, 344, 735 is 1
Given Input Data is 42, 406, 344, 735
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 406 is 2 x 7 x 29
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 735 is 3 x 5 x 7 x 7
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, 406) = 1218
GCD(42, 406) = ( 42 x 406 ) / 1218
GCD(42, 406) = 17052 / 1218
GCD(42, 406) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 344
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 344) = 2408
GCD(14, 344) = ( 14 x 344 ) / 2408
GCD(14, 344) = 4816 / 2408
GCD(14, 344) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 735) = 1470
GCD(2, 735) = ( 2 x 735 ) / 1470
GCD(2, 735) = 1470 / 1470
GCD(2, 735) = 1
GCD of 42, 406, 344, 735 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 42, 406, 344, 735?
GCD of 42, 406, 344, 735 is 1
2. Where do I get the detailed procedure to find GCD of 42, 406, 344, 735?
You can find a detailed procedure to find GCD of 42, 406, 344, 735 on our page.
3. How to find GCD of 42, 406, 344, 735 on a calculator?
You can find the GCD of 42, 406, 344, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.