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, 381, 165, 710 i.e. 1 largest integer that divides all the numbers equally.
GCD of 42, 381, 165, 710 is 1
GCD(42, 381, 165, 710) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 42, 381, 165, 710 is 1
GCD(42, 381, 165, 710) = 1
Given Input numbers are 42, 381, 165, 710
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 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Greatest Common Divisior
We found the divisors of 42, 381, 165, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 381, 165, 710 is 1.
Therefore, GCD of numbers 42, 381, 165, 710 is 1
Given Input Data is 42, 381, 165, 710
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 381 is 3 x 127
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 710 is 2 x 5 x 71
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, 381) = 5334
GCD(42, 381) = ( 42 x 381 ) / 5334
GCD(42, 381) = 16002 / 5334
GCD(42, 381) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 165) = 165
GCD(3, 165) = ( 3 x 165 ) / 165
GCD(3, 165) = 495 / 165
GCD(3, 165) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 710
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 710) = 2130
GCD(3, 710) = ( 3 x 710 ) / 2130
GCD(3, 710) = 2130 / 2130
GCD(3, 710) = 1
GCD of 42, 381, 165, 710 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 42, 381, 165, 710?
GCD of 42, 381, 165, 710 is 1
2. Where do I get the detailed procedure to find GCD of 42, 381, 165, 710?
You can find a detailed procedure to find GCD of 42, 381, 165, 710 on our page.
3. How to find GCD of 42, 381, 165, 710 on a calculator?
You can find the GCD of 42, 381, 165, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.