GCD of 421, 992, 839, 505 Calculator

Given Input numbers are 421, 992, 839, 505

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

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 421, 992, 839, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 992, 839, 505 is 1.

Therefore, GCD of numbers 421, 992, 839, 505 is 1

Given Input Data is 421, 992, 839, 505

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 421 is 421

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 839 is 839

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(421, 992) = 417632

GCD(421, 992) = ( 421 x 992 ) / 417632

GCD(421, 992) = 417632 / 417632

GCD(421, 992) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 839

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 839) = 839

GCD(1, 839) = ( 1 x 839 ) / 839

GCD(1, 839) = 839 / 839

GCD(1, 839) = 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 421, 992, 839, 505 is 1

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• GCD of 973, 349, 363, 107
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1. What is the GCD of 421, 992, 839, 505?

GCD of 421, 992, 839, 505 is 1

2. Where do I get the detailed procedure to find GCD of 421, 992, 839, 505?

You can find a detailed procedure to find GCD of 421, 992, 839, 505 on our page.

3. How to find GCD of 421, 992, 839, 505 on a calculator?

You can find the GCD of 421, 992, 839, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.