GCD of 849, 765, 257, 520 Calculator

Given Input numbers are 849, 765, 257, 520

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

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

Greatest Common Divisior

We found the divisors of 849, 765, 257, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 765, 257, 520 is 1.

Therefore, GCD of numbers 849, 765, 257, 520 is 1

Given Input Data is 849, 765, 257, 520

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 257 is 257

Prime Factorization of 520 is 2 x 2 x 2 x 5 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(849, 765) = 216495

GCD(849, 765) = ( 849 x 765 ) / 216495

GCD(849, 765) = 649485 / 216495

GCD(849, 765) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 257

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

LCM(3, 257) = 771

GCD(3, 257) = ( 3 x 257 ) / 771

GCD(3, 257) = 771 / 771

GCD(3, 257) = 1

Step3:

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

GCD of 849, 765, 257, 520 is 1

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• GCD of 390, 759, 246, 643
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1. What is the GCD of 849, 765, 257, 520?

GCD of 849, 765, 257, 520 is 1

2. Where do I get the detailed procedure to find GCD of 849, 765, 257, 520?

You can find a detailed procedure to find GCD of 849, 765, 257, 520 on our page.

3. How to find GCD of 849, 765, 257, 520 on a calculator?

You can find the GCD of 849, 765, 257, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.