GCD of 517, 560, 505, 502 Calculator

Given Input numbers are 517, 560, 505, 502

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

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 517, 560, 505, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 560, 505, 502 is 1.

Therefore, GCD of numbers 517, 560, 505, 502 is 1

Given Input Data is 517, 560, 505, 502

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 505 is 5 x 101

Prime Factorization of 502 is 2 x 251

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(517, 560) = 289520

GCD(517, 560) = ( 517 x 560 ) / 289520

GCD(517, 560) = 289520 / 289520

GCD(517, 560) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 517, 560, 505, 502 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 955, 703, 921
• GCD of 245, 390, 845, 126
• GCD of 286, 811, 237, 882
• GCD of 767, 623, 693, 110
• GCD of 828, 998, 206, 536

1. What is the GCD of 517, 560, 505, 502?

GCD of 517, 560, 505, 502 is 1

2. Where do I get the detailed procedure to find GCD of 517, 560, 505, 502?

You can find a detailed procedure to find GCD of 517, 560, 505, 502 on our page.

3. How to find GCD of 517, 560, 505, 502 on a calculator?

You can find the GCD of 517, 560, 505, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.