GCD of 284, 257, 520, 702 Calculator

Given Input numbers are 284, 257, 520, 702

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 284, 257, 520, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 257, 520, 702 is 1.

Therefore, GCD of numbers 284, 257, 520, 702 is 1

Given Input Data is 284, 257, 520, 702

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 257 is 257

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(284, 257) = 72988

GCD(284, 257) = ( 284 x 257 ) / 72988

GCD(284, 257) = 72988 / 72988

GCD(284, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 284, 257, 520, 702 is 1

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1. What is the GCD of 284, 257, 520, 702?

GCD of 284, 257, 520, 702 is 1

2. Where do I get the detailed procedure to find GCD of 284, 257, 520, 702?

You can find a detailed procedure to find GCD of 284, 257, 520, 702 on our page.

3. How to find GCD of 284, 257, 520, 702 on a calculator?

You can find the GCD of 284, 257, 520, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.