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 71, 395, 402, 165 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 395, 402, 165 is 1
GCD(71, 395, 402, 165) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 395, 402, 165 is 1
GCD(71, 395, 402, 165) = 1
Given Input numbers are 71, 395, 402, 165
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Greatest Common Divisior
We found the divisors of 71, 395, 402, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 395, 402, 165 is 1.
Therefore, GCD of numbers 71, 395, 402, 165 is 1
Given Input Data is 71, 395, 402, 165
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 395 is 5 x 79
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 165 is 3 x 5 x 11
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(71, 395) = 28045
GCD(71, 395) = ( 71 x 395 ) / 28045
GCD(71, 395) = 28045 / 28045
GCD(71, 395) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
GCD(1, 402) = 402 / 402
GCD(1, 402) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 165) = 165
GCD(1, 165) = ( 1 x 165 ) / 165
GCD(1, 165) = 165 / 165
GCD(1, 165) = 1
GCD of 71, 395, 402, 165 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 395, 402, 165?
GCD of 71, 395, 402, 165 is 1
2. Where do I get the detailed procedure to find GCD of 71, 395, 402, 165?
You can find a detailed procedure to find GCD of 71, 395, 402, 165 on our page.
3. How to find GCD of 71, 395, 402, 165 on a calculator?
You can find the GCD of 71, 395, 402, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.