GCD of 250, 992, 280, 415 Calculator

Given Input numbers are 250, 992, 280, 415

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

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

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 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 250, 992, 280, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 992, 280, 415 is 1.

Therefore, GCD of numbers 250, 992, 280, 415 is 1

Given Input Data is 250, 992, 280, 415

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

Prime Factorization of 250 is 2 x 5 x 5 x 5

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 415 is 5 x 83

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(250, 992) = 124000

GCD(250, 992) = ( 250 x 992 ) / 124000

GCD(250, 992) = 248000 / 124000

GCD(250, 992) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 280

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

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

GCD(2, 280) = 560 / 280

GCD(2, 280) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 415

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

LCM(2, 415) = 830

GCD(2, 415) = ( 2 x 415 ) / 830

GCD(2, 415) = 830 / 830

GCD(2, 415) = 1

GCD of 250, 992, 280, 415 is 1

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• GCD of 402, 593, 169, 822
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• GCD of 794, 580, 330, 514

1. What is the GCD of 250, 992, 280, 415?

GCD of 250, 992, 280, 415 is 1

2. Where do I get the detailed procedure to find GCD of 250, 992, 280, 415?

You can find a detailed procedure to find GCD of 250, 992, 280, 415 on our page.

3. How to find GCD of 250, 992, 280, 415 on a calculator?

You can find the GCD of 250, 992, 280, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.