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, 854, 392, 505 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 854, 392, 505 is 1
GCD(71, 854, 392, 505) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 854, 392, 505 is 1
GCD(71, 854, 392, 505) = 1
Given Input numbers are 71, 854, 392, 505
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 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Greatest Common Divisior
We found the divisors of 71, 854, 392, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 854, 392, 505 is 1.
Therefore, GCD of numbers 71, 854, 392, 505 is 1
Given Input Data is 71, 854, 392, 505
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 505 is 5 x 101
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, 854) = 60634
GCD(71, 854) = ( 71 x 854 ) / 60634
GCD(71, 854) = 60634 / 60634
GCD(71, 854) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 505
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 505) = 505
GCD(1, 505) = ( 1 x 505 ) / 505
GCD(1, 505) = 505 / 505
GCD(1, 505) = 1
GCD of 71, 854, 392, 505 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 854, 392, 505?
GCD of 71, 854, 392, 505 is 1
2. Where do I get the detailed procedure to find GCD of 71, 854, 392, 505?
You can find a detailed procedure to find GCD of 71, 854, 392, 505 on our page.
3. How to find GCD of 71, 854, 392, 505 on a calculator?
You can find the GCD of 71, 854, 392, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.