GCD of 260, 504, 15, 782 Calculator

Given Input numbers are 260, 504, 15, 782

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 260, 504, 15, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 504, 15, 782 is 1.

Therefore, GCD of numbers 260, 504, 15, 782 is 1

Given Input Data is 260, 504, 15, 782

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 15 is 3 x 5

Prime Factorization of 782 is 2 x 17 x 23

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(260, 504) = 32760

GCD(260, 504) = ( 260 x 504 ) / 32760

GCD(260, 504) = 131040 / 32760

GCD(260, 504) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 15

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

LCM(4, 15) = 60

GCD(4, 15) = ( 4 x 15 ) / 60

GCD(4, 15) = 60 / 60

GCD(4, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 260, 504, 15, 782 is 1

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1. What is the GCD of 260, 504, 15, 782?

GCD of 260, 504, 15, 782 is 1

2. Where do I get the detailed procedure to find GCD of 260, 504, 15, 782?

You can find a detailed procedure to find GCD of 260, 504, 15, 782 on our page.

3. How to find GCD of 260, 504, 15, 782 on a calculator?

You can find the GCD of 260, 504, 15, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.