GCD of 71, 854, 392, 505 Calculator

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.

• GCD of 58, 522, 295, 651
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• GCD of 26, 172, 746, 354
• GCD of 51, 345, 363, 106
• GCD of 28, 665, 388, 740

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.